GCF (HCF) of 42 and 54

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 42 and 54?

Answer

GCF (HCF) of 42 and 54 is

Common factors: 1, 2, 3, 6

6 divides both: 42 ÷ 6 = 7, 54 ÷ 6 = 9 — and 7 and 9 share no factor but 1, so no larger number divides both.

42 = 2 × 3 × 7

54 = 2 × 3³

Prime	42	54	Lowest power
2	2	2	2
3	3	3³	3
7	7	—	—

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

GCF = 2 × 3 = 6

More with these numbers

Related Calculations

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 54?

GCF (HCF) of 42 and 54 is 6

How to find the GCF of 42 and 54?

You can find the GCF of 42 and 54 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 54 is 6.

What prime factors do 42 and 54 share?

The prime factorizations of 42 and 54 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 42/54?

Divide the numerator and the denominator by the GCF 6: 42 ÷ 6 = 7 and 54 ÷ 6 = 9. So 42/54 in lowest terms is 7/9.

GCF (HCF) of 42 and 54

What is the Greatest Common Divisor of 42 and 54?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 42 and 54?

How to find the GCF of 42 and 54?

What prime factors do 42 and 54 share?

How does the GCF reduce the fraction 42/54?

See Also