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GCF (HCF) of 2 and 14

"Greatest Common Factor" Calculator

What is the Greatest Common Divisor of 2 and 14?

Answer

GCF (HCF) of 2 and 14 is

2

Common factors: 1, 2

2 divides 14 (14 ÷ 2 = 7), so the GCF is the smaller number itself.

2 — prime

14 = 2 × 7

Prime	2	14	Lowest power
2	2	2	2
7	—	7	—

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

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 2 and 14. The GCF of 2 and 14 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
2	1	1
2	3	1
2	4	2
2	5	1
2	6	2
2	7	1
2	8	2
2	9	1
2	10	2
2	12	2
2	13	1
2	14	2
2	15	1
2	18	2
2	20	2
2	21	1
2	22	2
2	24	2
2	25	1
2	26	2
2	27	1
2	28	2
2	30	2
2	31	1
2	34	2
2	36	2
2	41	1
2	43	1
2	48	2
2	49	1

FAQ

What is the Greatest Common Divisor of 2 and 14?

GCF (HCF) of 2 and 14 is 2

How to find the GCF of 2 and 14?

You can find the GCF of 2 and 14 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 2 and 14 is 2.

What prime factors do 2 and 14 share?

The prime factorizations of 2 and 14 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 2/14?

Divide the numerator and the denominator by the GCF 2: 2 ÷ 2 = 1 and 14 ÷ 2 = 7. So 2/14 in lowest terms is 1/7.