GCF (HCF) of 14 and 28

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What is the Greatest Common Divisor of 14 and 28?

Answer

GCF (HCF) of 14 and 28 is
14

Common factors: 1, 2, 7, 14

14 divides 28 (28 ÷ 14 = 2), so the GCF is the smaller number itself.

14 = 2 × 7

28 = 22 × 7

Prime1428Lowest power
22222
7777

GCF = 2 × 7 = 14

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GCF Table

Number 1Number 2GCF
1411
1491
14151
14162
14171
14182
14191
14202
14217
14222
14231
14242
14251
14262
14271
142814
14302
14322
14331
14342
14357
14362
14382
14391
14411
144214
14431
14442
14451
14462

FAQ

What is the Greatest Common Divisor of 14 and 28?

GCF (HCF) of 14 and 28 is 14

How to find the GCF of 14 and 28?

You can find the GCF of 14 and 28 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 14 and 28 is 14.

What prime factors do 14 and 28 share?

The prime factorizations of 14 and 28 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

How does the GCF reduce the fraction 14/28?

Divide the numerator and the denominator by the GCF 14: 14 ÷ 14 = 1 and 28 ÷ 14 = 2. So 14/28 in lowest terms is 1/2.

See Also