GCF for 32, 48 and 64

"Greatest Common Factor of 3 Numbers" Calculator

What's the Greatest Common Factor (GCF) of 32, 48 and 64?

Answer

GCF of 32, 48 and 64 is

Common factors: 1, 2, 4, 8, 16

16 divides all three: 32 ÷ 16 = 2, 48 ÷ 16 = 3, 64 ÷ 16 = 4 — and 2, 3 and 4 have no factor but 1 common to all of them, so no larger number divides all three.

32 = 2⁵

48 = 2⁴ × 3

64 = 2⁶

Prime	32	48	64	Lowest power
2	2⁵	2⁴	2⁶	2⁴
3	—	3	—	—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 2⁴ = 16

More with these numbers

Related Calculations

GCF Table

1st	2nd	3rd	GCF
32	48	49	1
32	48	50	2
32	48	51	1
32	48	52	4
32	48	53	1
32	48	54	2
32	48	55	1
32	48	56	8
32	48	57	1
32	48	58	2
32	48	59	1
32	48	60	4
32	48	61	1
32	48	62	2
32	48	63	1
32	48	64	16
32	48	65	1
32	48	66	2
32	48	67	1
32	48	68	4
32	48	69	1
32	48	70	2
32	48	71	1
32	48	72	8
32	48	73	1
32	48	74	2
32	48	75	1
32	48	76	4
32	48	77	1
32	48	78	2

FAQ

What's the Greatest Common Factor (GCF) of 32, 48 and 64?

GCF of 32, 48 and 64 is 16

What prime factors do 32, 48 and 64 share?

All three factorizations contain 2 × 2 × 2 × 2, and multiplying those shared primes gives 16 — exactly the greatest common factor.

Can you get the GCF of 32, 48 and 64 two numbers at a time?

Yes. The GCF of 32 and 48 is 16, and the GCF of 16 and 64 is 16 — the same answer, because the greatest common factor is associative and does not depend on the order of the three numbers.

How does the GCF simplify the ratio 32 : 48 : 64?

Divide every term by the GCF 16: 32 ÷ 16 = 2, 48 ÷ 16 = 3 and 64 ÷ 16 = 4. So 32 : 48 : 64 in lowest terms is 2 : 3 : 4, and no whole number other than 1 divides all three of those.

GCF for 32, 48 and 64

What's the Greatest Common Factor (GCF) of 32, 48 and 64?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What's the Greatest Common Factor (GCF) of 32, 48 and 64?

What prime factors do 32, 48 and 64 share?

Can you get the GCF of 32, 48 and 64 two numbers at a time?

How does the GCF simplify the ratio 32 : 48 : 64?

See Also

1st	2nd	3rd	GCF
32	48	49	1
32	48	50	2
32	48	51	1
32	48	52	4
32	48	53	1
32	48	54	2
32	48	55	1
32	48	56	8
32	48	57	1
32	48	58	2
32	48	59	1
32	48	60	4
32	48	61	1
32	48	62	2
32	48	63	1
32	48	64	16
32	48	65	1
32	48	66	2
32	48	67	1
32	48	68	4
32	48	69	1
32	48	70	2
32	48	71	1
32	48	72	8
32	48	73	1
32	48	74	2
32	48	75	1
32	48	76	4
32	48	77	1
32	48	78	2

1st	2nd	3rd	GCF
32	48	49	1
32	48	50	2
32	48	51	1
32	48	52	4
32	48	53	1
32	48	54	2
32	48	55	1
32	48	56	8
32	48	57	1
32	48	58	2
32	48	59	1
32	48	60	4
32	48	61	1
32	48	62	2
32	48	63	1
32	48	64	16
32	48	65	1
32	48	66	2
32	48	67	1
32	48	68	4
32	48	69	1
32	48	70	2
32	48	71	1
32	48	72	8
32	48	73	1
32	48	74	2
32	48	75	1
32	48	76	4
32	48	77	1
32	48	78	2

1st	2nd	3rd	GCF
32	48	49	1
32	48	50	2
32	48	51	1
32	48	52	4
32	48	53	1
32	48	54	2
32	48	55	1
32	48	56	8
32	48	57	1
32	48	58	2
32	48	59	1
32	48	60	4
32	48	61	1
32	48	62	2
32	48	63	1
32	48	64	16
32	48	65	1
32	48	66	2
32	48	67	1
32	48	68	4
32	48	69	1
32	48	70	2
32	48	71	1
32	48	72	8
32	48	73	1
32	48	74	2
32	48	75	1
32	48	76	4
32	48	77	1
32	48	78	2