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GCF (HCF) of 8 and 72

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What is the Greatest Common Divisor of 8 and 72?

Answer

GCF (HCF) of 8 and 72 is

8

Common factors: 1, 2, 4, 8

8 divides 72 (72 ÷ 8 = 9), so the GCF is the smaller number itself.

8 = 2³

72 = 2³ × 3²

Prime	8	72	Lowest power
2	2³	2³	2³
3	—	3²	—

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

GCF = 2³ = 8

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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 72. The GCF of 8 and 72 is 8 — 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 72?

GCF (HCF) of 8 and 72 is 8

How to find the GCF of 8 and 72?

You can find the GCF of 8 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 72 is 8.

What prime factors do 8 and 72 share?

The prime factorizations of 8 and 72 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 8/72?

Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 72 ÷ 8 = 9. So 8/72 in lowest terms is 1/9.