GCF (HCF) of 4 and 14

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What is the Greatest Common Divisor of 4 and 14?

Answer

GCF (HCF) of 4 and 14 is
2

Common factors: 1, 2

2 divides both: 4 ÷ 2 = 2, 14 ÷ 2 = 7 — and 2 and 7 share no factor but 1, so no larger number divides both.

4 = 22

14 = 2 × 7

Prime414Lowest power
22222
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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GCF Table

Number 1Number 2GCF
422
431
451
462
471
484
491
4102
4124
4131
4142
4151
4164
4182
4204
4211
4231
4244
4251
4262
4271
4284
4302
4324
4351
4364
4371
4404
4422
4444

FAQ

What is the Greatest Common Divisor of 4 and 14?

GCF (HCF) of 4 and 14 is 2

How to find the GCF of 4 and 14?

You can find the GCF of 4 and 14 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 14 is 2.

What prime factors do 4 and 14 share?

The prime factorizations of 4 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 4/14?

Divide the numerator and the denominator by the GCF 2: 4 ÷ 2 = 2 and 14 ÷ 2 = 7. So 4/14 in lowest terms is 2/7.

See Also