GCF (HCF) of 42 and 65

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What is the Greatest Common Divisor of 42 and 65?

Answer

GCF (HCF) of 42 and 65 is

Common factors: 1

Only 1 divides both: 42 and 65 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 42 × 65 = 2,730.

42 = 2 × 3 × 7

65 = 5 × 13

Prime	42	65	Lowest power
2	2	—	—
3	3	—	—
5	—	5	—
7	7	—	—
13	—	13	—

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

GCF = 1

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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 65?

GCF (HCF) of 42 and 65 is 1

How to find the GCF of 42 and 65?

You can find the GCF of 42 and 65 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 42 and 65 is 1.

What prime factors do 42 and 65 share?

42 and 65 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 42/65?

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

Are 42 and 65 coprime?

Yes, 42 and 65 are coprime (relatively prime) because their Greatest Common Factor is 1.

GCF (HCF) of 42 and 65

What is the Greatest Common Divisor of 42 and 65?

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See Also

GCF Table

FAQ

What is the Greatest Common Divisor of 42 and 65?

How to find the GCF of 42 and 65?

What prime factors do 42 and 65 share?

How does the GCF reduce the fraction 42/65?

Are 42 and 65 coprime?

See Also