GCF (HCF) of 32 and 42

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 32 and 42?

Answer

GCF (HCF) of 32 and 42 is

Common factors: 1, 2

2 divides both: 32 ÷ 2 = 16, 42 ÷ 2 = 21 — and 16 and 21 share no factor but 1, so no larger number divides both.

32 = 2⁵

42 = 2 × 3 × 7

Prime	32	42	Lowest power
2	2⁵	2	2
3	—	3	—
7	—	7	—

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

GCF = 2

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	51	1
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
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 42?

GCF (HCF) of 32 and 42 is 2

How to find the GCF of 32 and 42?

You can find the GCF of 32 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 32 and 42 is 2.

What prime factors do 32 and 42 share?

The prime factorizations of 32 and 42 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 32/42?

Divide the numerator and the denominator by the GCF 2: 32 ÷ 2 = 16 and 42 ÷ 2 = 21. So 32/42 in lowest terms is 16/21.

GCF (HCF) of 32 and 42

What is the Greatest Common Divisor of 32 and 42?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 32 and 42?

How to find the GCF of 32 and 42?

What prime factors do 32 and 42 share?

How does the GCF reduce the fraction 32/42?

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	51	1
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
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	51	1
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
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	51	1
32	52	4
32	54	2
32	55	1
32	56	8
32	57	1
32	58	2
32	60	4
32	80	16
32	81	1
32	84	4
32	90	2
32	96	32
32	128	32
32	176	16