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GCF (HCF) of 8 and 53

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What is the Greatest Common Divisor of 8 and 53?

Answer

GCF (HCF) of 8 and 53 is

1

Common factors: 1

Only 1 divides both: 8 and 53 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 8 × 53 = 424.

8 = 2³

53 — prime

Prime	8	53	Lowest power
2	2³	—	—
53	—	53	—

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

GCF = 1

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See Also

Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers

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What is the GCF (HCF) of 8 and 53. The GCF of 8 and 53 is 1 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.

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GCF Table

Number 1	Number 2	GCF
8	27	1
8	28	4
8	29	1
8	30	2
8	32	8
8	33	1
8	35	1
8	36	4
8	40	8
8	42	2
8	43	1
8	44	4
8	45	1
8	48	8
8	49	1
8	50	2
8	52	4
8	53	1
8	56	8
8	59	1
8	60	4
8	63	1
8	64	8
8	72	8
8	80	8
8	90	2
8	96	8
8	100	4
8	120	8
8	1,000	8

FAQ

What is the Greatest Common Divisor of 8 and 53?

GCF (HCF) of 8 and 53 is 1

How to find the GCF of 8 and 53?

You can find the GCF of 8 and 53 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 53 is 1.

What prime factors do 8 and 53 share?

8 and 53 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 8/53?

Divide the numerator and the denominator by the GCF 1: 8 ÷ 1 = 8 and 53 ÷ 1 = 53. So 8/53 in lowest terms is 8/53.

Are 8 and 53 coprime?

Yes, 8 and 53 are coprime (relatively prime) because their Greatest Common Factor is 1.