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GCF (HCF) of 42 and 51

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 42 and 51?

Answer

GCF (HCF) of 42 and 51 is

3

Common factors: 1, 3

3 divides both: 42 ÷ 3 = 14, 51 ÷ 3 = 17 — and 14 and 17 share no factor but 1, so no larger number divides both.

42 = 2 × 3 × 7

51 = 3 × 17

Prime	42	51	Lowest power
2	2	—	—
3	3	3	3
7	7	—	—
17	—	17	—

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

GCF = 3

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 42 and 51. The GCF of 42 and 51 is 3 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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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 51?

GCF (HCF) of 42 and 51 is 3

How to find the GCF of 42 and 51?

You can find the GCF of 42 and 51 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 51 is 3.

What prime factors do 42 and 51 share?

The prime factorizations of 42 and 51 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 42/51?

Divide the numerator and the denominator by the GCF 3: 42 ÷ 3 = 14 and 51 ÷ 3 = 17. So 42/51 in lowest terms is 14/17.