GCF (HCF) of 42 and 28

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What is the Greatest Common Divisor of 42 and 28?

Answer

GCF (HCF) of 42 and 28 is

Common factors: 1, 2, 7, 14

14 divides both: 42 ÷ 14 = 3, 28 ÷ 14 = 2 — and 3 and 2 share no factor but 1, so no larger number divides both.

42 = 2 × 3 × 7

28 = 2² × 7

Prime	42	28	Lowest power
2	2	2²	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 28?

GCF (HCF) of 42 and 28 is 14

How to find the GCF of 42 and 28?

You can find the GCF of 42 and 28 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 28 is 14.

What prime factors do 42 and 28 share?

The prime factorizations of 42 and 28 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

How does the GCF reduce the fraction 42/28?

Divide the numerator and the denominator by the GCF 14: 42 ÷ 14 = 3 and 28 ÷ 14 = 2. So 42/28 in lowest terms is 3/2.

GCF (HCF) of 42 and 28

What is the Greatest Common Divisor of 42 and 28?

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See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 42 and 28?

How to find the GCF of 42 and 28?

What prime factors do 42 and 28 share?

How does the GCF reduce the fraction 42/28?

See Also