GCF (HCF) of 42 and 56

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What is the Greatest Common Divisor of 42 and 56?

Answer

GCF (HCF) of 42 and 56 is

Common factors: 1, 2, 7, 14

14 divides both: 42 ÷ 14 = 3, 56 ÷ 14 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

42 = 2 × 3 × 7

56 = 2³ × 7

Prime	42	56	Lowest power
2	2	2³	2
3	3	—	—
7	7	7	7

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

GCF = 2 × 7 = 14

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GCF Table

Number 1	Number 2	GCF
42	28	14
42	44	2
42	45	3
42	46	2
42	48	6
42	49	7
42	50	2
42	51	3
42	52	2
42	54	6
42	55	1
42	56	14
42	57	3
42	58	2
42	59	1
42	60	6
42	63	21
42	65	1
42	70	14
42	72	6
42	80	2
42	84	42
42	86	2
42	90	6
42	96	6
42	98	14
42	100	2
42	105	21
42	231	21
42	1,365	21

FAQ

What is the Greatest Common Divisor of 42 and 56?

GCF (HCF) of 42 and 56 is 14

How to find the GCF of 42 and 56?

You can find the GCF of 42 and 56 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 56 is 14.

What prime factors do 42 and 56 share?

The prime factorizations of 42 and 56 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

How does the GCF reduce the fraction 42/56?

Divide the numerator and the denominator by the GCF 14: 42 ÷ 14 = 3 and 56 ÷ 14 = 4. So 42/56 in lowest terms is 3/4.

GCF (HCF) of 42 and 56

What is the Greatest Common Divisor of 42 and 56?

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See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 42 and 56?

How to find the GCF of 42 and 56?

What prime factors do 42 and 56 share?

How does the GCF reduce the fraction 42/56?

See Also