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GCF (HCF) of 8 and 2

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 8 and 2?

Answer

GCF (HCF) of 8 and 2 is

2

Common factors: 1, 2

2 divides 8 (8 ÷ 2 = 4), so the GCF is the smaller number itself.

8 = 2³

2 — prime

Prime	8	2	Lowest power
2	2³	2	2

GCF = 2

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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 2. The GCF of 8 and 2 is 2 — 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	2	2
8	3	1
8	4	4
8	5	1
8	6	2
8	9	1
8	10	2
8	11	1
8	12	4
8	13	1
8	14	2
8	15	1
8	16	8
8	17	1
8	18	2
8	19	1
8	20	4
8	21	1
8	24	8
8	25	1
8	26	2
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

FAQ

What is the Greatest Common Divisor of 8 and 2?

GCF (HCF) of 8 and 2 is 2

How to find the GCF of 8 and 2?

You can find the GCF of 8 and 2 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 2 is 2.

What prime factors do 8 and 2 share?

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

How does the GCF reduce the fraction 8/2?

Divide the numerator and the denominator by the GCF 2: 8 ÷ 2 = 4 and 2 ÷ 2 = 1. So 8/2 in lowest terms is 4/1.