GCF (HCF) of 42 and 1365

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 42 and 1,365?

Answer

GCF (HCF) of 42 and 1,365 is

Common factors: 1, 3, 7, 21

21 divides both: 42 ÷ 21 = 2; 1,365 ÷ 21 = 65 — and 2 and 65 share no factor but 1, so no larger number divides both.

42 = 2 × 3 × 7

1,365 = 3 × 5 × 7 × 13

Prime	42	1,365	Lowest power
2	2	—	—
3	3	3	3
5	—	5	—
7	7	7	7
13	—	13	—

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

GCF = 3 × 7 = 21

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 1,365?

GCF (HCF) of 42 and 1,365 is 21

How to find the GCF of 42 and 1,365?

You can find the GCF of 42 and 1,365 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 1,365 is 21.

What prime factors do 42 and 1,365 share?

The prime factorizations of 42 and 1,365 have 3 × 7 in common, and multiplying those shared primes gives 21 — exactly the greatest common factor.

How does the GCF reduce the fraction 42/1365?

Divide the numerator and the denominator by the GCF 21: 42 ÷ 21 = 2 and 1,365 ÷ 21 = 65. So 42/1365 in lowest terms is 2/65.

GCF (HCF) of 42 and 1365

What is the Greatest Common Divisor of 42 and 1,365?

More with these numbers

Related Calculations

See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 42 and 1,365?

How to find the GCF of 42 and 1,365?

What prime factors do 42 and 1,365 share?

How does the GCF reduce the fraction 42/1365?

See Also