GCF (HCF) of 8 and 28

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Greatest Common Factor of
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What is the Greatest Common Divisor of 8 and 28?

Answer

GCF (HCF) of 8 and 28 is
4

Common factors: 1, 2, 4

4 divides both: 8 ÷ 4 = 2, 28 ÷ 4 = 7 — and 2 and 7 share no factor but 1, so no larger number divides both.

8 = 23

28 = 22 × 7

Prime828Lowest power
2232222
7—7—

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

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
8111
8124
8131
8142
8151
8168
8171
8182
8191
8204
8211
8248
8251
8262
8271
8284
8291
8302
8328
8331
8351
8364
8408
8422
8431
8444
8451
8488
8491
8502

FAQ

What is the Greatest Common Divisor of 8 and 28?

GCF (HCF) of 8 and 28 is 4

How to find the GCF of 8 and 28?

You can find the GCF of 8 and 28 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 28 is 4.

What prime factors do 8 and 28 share?

The prime factorizations of 8 and 28 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 8/28?

Divide the numerator and the denominator by the GCF 4: 8 ÷ 4 = 2 and 28 ÷ 4 = 7. So 8/28 in lowest terms is 2/7.

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