GCF (HCF) of 6 and 42

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 6 and 42?

Answer

GCF (HCF) of 6 and 42 is

Common factors: 1, 2, 3, 6

6 divides 42 (42 ÷ 6 = 7), so the GCF is the smaller number itself.

6 = 2 × 3

42 = 2 × 3 × 7

Prime	6	42	Lowest power
2	2	2	2
3	3	3	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
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2
6	81	3
6	90	6
6	100	2

FAQ

What is the Greatest Common Divisor of 6 and 42?

GCF (HCF) of 6 and 42 is 6

How to find the GCF of 6 and 42?

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

What prime factors do 6 and 42 share?

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

How does the GCF reduce the fraction 6/42?

Divide the numerator and the denominator by the GCF 6: 6 ÷ 6 = 1 and 42 ÷ 6 = 7. So 6/42 in lowest terms is 1/7.

GCF (HCF) of 6 and 42

What is the Greatest Common Divisor of 6 and 42?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 6 and 42?

How to find the GCF of 6 and 42?

What prime factors do 6 and 42 share?

How does the GCF reduce the fraction 6/42?

See Also

Number 1	Number 2	GCF
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2
6	81	3
6	90	6
6	100	2

Number 1	Number 2	GCF
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2
6	81	3
6	90	6
6	100	2

Number 1	Number 2	GCF
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2
6	42	6
6	45	3
6	48	6
6	49	1
6	52	2
6	54	6
6	80	2
6	81	3
6	90	6
6	100	2