GCF (HCF) of 42 and 84

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What is the Greatest Common Divisor of 42 and 84?

Answer

GCF (HCF) of 42 and 84 is

Common factors: 1, 2, 3, 6, 7, 14, 21, 42

42 divides 84 (84 ÷ 42 = 2), so the GCF is the smaller number itself.

42 = 2 × 3 × 7

84 = 2² × 3 × 7

Prime	42	84	Lowest power
2	2	2²	2
3	3	3	3
7	7	7	7

GCF = 2 × 3 × 7 = 42

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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 84?

GCF (HCF) of 42 and 84 is 42

How to find the GCF of 42 and 84?

You can find the GCF of 42 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 84 is 42.

What prime factors do 42 and 84 share?

The prime factorizations of 42 and 84 have 2 × 3 × 7 in common, and multiplying those shared primes gives 42 — exactly the greatest common factor.

How does the GCF reduce the fraction 42/84?

Divide the numerator and the denominator by the GCF 42: 42 ÷ 42 = 1 and 84 ÷ 42 = 2. So 42/84 in lowest terms is 1/2.

GCF (HCF) of 42 and 84

What is the Greatest Common Divisor of 42 and 84?

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See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 42 and 84?

How to find the GCF of 42 and 84?

What prime factors do 42 and 84 share?

How does the GCF reduce the fraction 42/84?

See Also