GCF (HCF) of 32 and 72

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 32 and 72?

Answer

GCF (HCF) of 32 and 72 is

Common factors: 1, 2, 4, 8

8 divides both: 32 ÷ 8 = 4, 72 ÷ 8 = 9 — and 4 and 9 share no factor but 1, so no larger number divides both.

32 = 2⁵

72 = 2³ × 3²

Prime	32	72	Lowest power
2	2⁵	2³	2³
3	—	3²	—

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

GCF = 2³ = 8

More with these numbers

Related Calculations

GCF Table

Number 1	Number 2	GCF
32	33	1
32	34	2
32	35	1
32	36	4
32	38	2
32	40	8
32	41	1
32	42	2
32	44	4
32	45	1
32	46	2
32	48	16
32	49	1
32	50	2
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
32	72	8
32	80	16
32	81	1
32	84	4
32	90	2
32	96	32
32	128	32
32	176	16

FAQ

What is the Greatest Common Divisor of 32 and 72?

GCF (HCF) of 32 and 72 is 8

How to find the GCF of 32 and 72?

You can find the GCF of 32 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 32 and 72 is 8.

What prime factors do 32 and 72 share?

The prime factorizations of 32 and 72 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 32/72?

Divide the numerator and the denominator by the GCF 8: 32 ÷ 8 = 4 and 72 ÷ 8 = 9. So 32/72 in lowest terms is 4/9.

GCF (HCF) of 32 and 72

What is the Greatest Common Divisor of 32 and 72?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 32 and 72?

How to find the GCF of 32 and 72?

What prime factors do 32 and 72 share?

How does the GCF reduce the fraction 32/72?

See Also

Number 1	Number 2	GCF
32	33	1
32	34	2
32	35	1
32	36	4
32	38	2
32	40	8
32	41	1
32	42	2
32	44	4
32	45	1
32	46	2
32	48	16
32	49	1
32	50	2
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
32	72	8
32	80	16
32	81	1
32	84	4
32	90	2
32	96	32
32	128	32
32	176	16

Number 1	Number 2	GCF
32	33	1
32	34	2
32	35	1
32	36	4
32	38	2
32	40	8
32	41	1
32	42	2
32	44	4
32	45	1
32	46	2
32	48	16
32	49	1
32	50	2
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
32	72	8
32	80	16
32	81	1
32	84	4
32	90	2
32	96	32
32	128	32
32	176	16

Number 1	Number 2	GCF
32	33	1
32	34	2
32	35	1
32	36	4
32	38	2
32	40	8
32	41	1
32	42	2
32	44	4
32	45	1
32	46	2
32	48	16
32	49	1
32	50	2
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
32	72	8
32	80	16
32	81	1
32	84	4
32	90	2
32	96	32
32	128	32
32	176	16