Original C function:

int recursiveFact(int number)
{
  if (number == 0)
    return 1;
  else
    return number * recursiveFact(number - 1);
}
Partial assembly generated by Microsoft's compiler. (With or without optimizations there is no recursion removal.)
; iterativeFact
; int factor = 1;
; for (int count = 2; count <= number; count++)
	mov	edx, DWORD PTR _number$[esp-4]
	mov	ecx, 2
	cmp	edx, ecx
	mov	eax, 1
	jl	SHORT $L1434
	push	esi
$L1432:
; factor = factor * count;
	mov	esi, ecx
	imul	eax, esi
	inc	ecx
	cmp	ecx, edx
	jle	SHORT $L1432
	pop	esi
$L1434:
; recursiveFact
	push	esi
; if (number == 0)
	mov	esi, DWORD PTR _number$[esp]
	test	esi, esi
	jne	SHORT $L1438
;   return 1;
	mov	eax, 1
	pop	esi
$L1438:
; else
;   return number * recursiveFact(number - 1);
	lea	eax, DWORD PTR [esi-1]
	push	eax
	call	recursiveFact
	imul	eax, esi
	add	esp, 4
	pop	esi

GCC generated assembly:
Non-optimized 619 bytesOptimized (-O1) 513 bytesOptimized (-O2) 437 bytesOptimized (-O3) 2,374 bytesOptimized for size (-Os) 385
	.file	"fact.cpp"
	.text
	.globl	_Z13recursiveFacti
	.type	_Z13recursiveFacti, @function
_Z13recursiveFacti:
.LFB0:
	pushq	%rbp
	movq	%rsp, %rbp
	subq	$16, %rsp
	movl	%edi, -4(%rbp)
	cmpl	$0, -4(%rbp)
	jne	.L2
	movl	$1, %eax
	jmp	.L3
.L2:
	movl	-4(%rbp), %eax
	subl	$1, %eax
	movl	%eax, %edi
	call	_Z13recursiveFacti
	imull	-4(%rbp), %eax
.L3:
	leave
	ret
.LFE0:
	.size	_Z13recursiveFacti, .-_Z13recursiveFacti
	.ident	"GCC: (Ubuntu 4.8.4-2ubuntu1~14.04) 4.8.4"
	.section	.note.GNU-stack,"",@progbits
	.file	"fact.cpp"
	.text
	.globl	_Z13recursiveFacti
	.type	_Z13recursiveFacti, @function
_Z13recursiveFacti:
.LFB0:
	pushq	%rbx
	movl	%edi, %ebx
	movl	$1, %eax
	testl	%edi, %edi
	je	.L2
	leal	-1(%rdi), %edi
	call	_Z13recursiveFacti
	imull	%ebx, %eax
.L2:
	popq	%rbx
	ret
.LFE0:
	.size	_Z13recursiveFacti, .-_Z13recursiveFacti
	.ident	"GCC: (Ubuntu 4.8.4-2ubuntu1~14.04) 4.8.4"
	.section	.note.GNU-stack,"",@progbits
	.file	"fact.cpp"
	.text
	.p2align 4,,15
	.globl	_Z13recursiveFacti
	.type	_Z13recursiveFacti, @function
_Z13recursiveFacti:
.LFB0:
	testl	%edi, %edi
	movl	$1, %eax
	je	.L2
	.p2align 4,,10
	.p2align 3
.L3:
	imull	%edi, %eax
	subl	$1, %edi
	jne	.L3
.L2:
	rep ret
.LFE0:
	.size	_Z13recursiveFacti, .-_Z13recursiveFacti
	.ident	"GCC: (Ubuntu 4.8.4-2ubuntu1~14.04) 4.8.4"
	.section	.note.GNU-stack,"",@progbits
	.file	"fact.cpp"
	.text
	.p2align 4,,15
	.globl	_Z13recursiveFacti
	.type	_Z13recursiveFacti, @function
_Z13recursiveFacti:
.LFB0:
	testl	%edi, %edi
	je	.L10
	movl	%edi, %edx
	movl	%edi, %esi
	shrl	$2, %edx
	leal	0(,%rdx,4), %ecx
	testl	%ecx, %ecx
	je	.L11
	cmpl	$9, %edi
	jbe	.L11
	leal	-1(%rdi), %eax
	movl	%eax, -20(%rsp)
	leal	-2(%rdi), %eax
	movd	-20(%rsp), %xmm6
	movl	%eax, -16(%rsp)
	leal	-3(%rdi), %eax
	movd	-16(%rsp), %xmm0
	movl	%edi, -16(%rsp)
	movl	%eax, -12(%rsp)
	movd	-16(%rsp), %xmm1
	xorl	%eax, %eax
	movd	-12(%rsp), %xmm4
	punpckldq	%xmm6, %xmm1
	punpckldq	%xmm4, %xmm0
	movdqa	.LC1(%rip), %xmm4
	punpcklqdq	%xmm0, %xmm1
	movdqa	.LC0(%rip), %xmm0
	jmp	.L9
	.p2align 4,,10
	.p2align 3
.L36:
	movdqa	%xmm3, %xmm1
.L9:
	movdqa	%xmm1, %xmm5
	movdqa	%xmm1, %xmm3
	psrlq	$32, %xmm1
	addl	$1, %eax
	pmuludq	%xmm0, %xmm5
	psrlq	$32, %xmm0
	pmuludq	%xmm0, %xmm1
	pshufd	$8, %xmm5, %xmm0
	cmpl	%eax, %edx
	paddd	%xmm4, %xmm3
	pshufd	$8, %xmm1, %xmm1
	punpckldq	%xmm1, %xmm0
	ja	.L36
	movdqa	%xmm0, %xmm7
	subl	%ecx, %edi
	cmpl	%esi, %ecx
	psrldq	$8, %xmm7
	movdqa	%xmm7, %xmm2
	movdqa	%xmm7, %xmm6
	psrlq	$32, %xmm2
	pmuludq	%xmm0, %xmm6
	psrlq	$32, %xmm0
	pshufd	$8, %xmm6, %xmm1
	pmuludq	%xmm2, %xmm0
	pshufd	$8, %xmm0, %xmm0
	punpckldq	%xmm0, %xmm1
	movdqa	%xmm1, %xmm7
	psrldq	$4, %xmm7
	pmuludq	%xmm7, %xmm1
	movd	%xmm1, -20(%rsp)
	movl	-20(%rsp), %eax
	je	.L2
.L3:
	movl	%edi, %edx
	imull	%edi, %eax
	subl	$1, %edx
	je	.L2
	imull	%edx, %eax
	movl	%edi, %edx
	subl	$2, %edx
	je	.L2
	imull	%edx, %eax
	movl	%edi, %edx
	subl	$3, %edx
	je	.L2
	imull	%edx, %eax
	movl	%edi, %edx
	subl	$4, %edx
	je	.L2
	imull	%edx, %eax
	movl	%edi, %edx
	subl	$5, %edx
	je	.L2
	imull	%edx, %eax
	movl	%edi, %edx
	subl	$6, %edx
	je	.L2
	imull	%edx, %eax
	movl	%edi, %edx
	subl	$7, %edx
	je	.L2
	imull	%edx, %eax
	subl	$8, %edi
	movl	%eax, %edx
	imull	%edi, %edx
	testl	%edi, %edi
	cmovne	%edx, %eax
	ret
	.p2align 4,,10
	.p2align 3
.L10:
	movl	$1, %eax
	.p2align 4,,10
	.p2align 3
.L2:
	rep ret
	.p2align 4,,10
	.p2align 3
.L11:
	movl	$1, %eax
	jmp	.L3
.LFE0:
	.size	_Z13recursiveFacti, .-_Z13recursiveFacti
	.section	.rodata.cst16,"aM",@progbits,16
	.align 16
.LC0:
	.long	1
	.long	1
	.long	1
	.long	1
	.align 16
.LC1:
	.long	-4
	.long	-4
	.long	-4
	.long	-4
	.ident	"GCC: (Ubuntu 4.8.4-2ubuntu1~14.04) 4.8.4"
	.section	.note.GNU-stack,"",@progbits
	.file	"fact.cpp"
	.text
	.globl	_Z13recursiveFacti
	.type	_Z13recursiveFacti, @function
_Z13recursiveFacti:
.LFB0:
	movl	$1, %eax
.L3:
	testl	%edi, %edi
	je	.L2
	imull	%edi, %eax
	decl	%edi
	jmp	.L3
.L2:
	ret
.LFE0:
	.size	_Z13recursiveFacti, .-_Z13recursiveFacti
	.ident	"GCC: (Ubuntu 4.8.4-2ubuntu1~14.04) 4.8.4"
	.section	.note.GNU-stack,"",@progbits