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GCF (HCF) of 6 and 12

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 6 and 12?

Answer

GCF (HCF) of 6 and 12 is

6

Common factors: 1, 2, 3, 6

6 divides 12 (12 ÷ 6 = 2), so the GCF is the smaller number itself.

6 = 2 × 3

12 = 2² × 3

Prime	6	12	Lowest power
2	2	2²	2
3	3	3	3

GCF = 2 × 3 = 6

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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 6 and 12. The GCF of 6 and 12 is 6 — 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
6	2	2
6	4	2
6	5	1
6	7	1
6	8	2
6	9	3
6	10	2
6	11	1
6	12	6
6	13	1
6	14	2
6	15	3
6	16	2
6	17	1
6	18	6
6	20	2
6	21	3
6	24	6
6	25	1
6	26	2
6	27	3
6	29	1
6	30	6
6	32	2
6	33	3
6	35	1
6	36	6
6	37	1
6	39	3
6	40	2

FAQ

What is the Greatest Common Divisor of 6 and 12?

GCF (HCF) of 6 and 12 is 6

How to find the GCF of 6 and 12?

You can find the GCF of 6 and 12 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 6 and 12 is 6.

What prime factors do 6 and 12 share?

The prime factorizations of 6 and 12 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 6/12?

Divide the numerator and the denominator by the GCF 6: 6 ÷ 6 = 1 and 12 ÷ 6 = 2. So 6/12 in lowest terms is 1/2.