GCF (HCF) of 4 and 28

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Greatest Common Factor of
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What is the Greatest Common Divisor of 4 and 28?

Answer

GCF (HCF) of 4 and 28 is
4

Common factors: 1, 2, 4

4 divides 28 (28 ÷ 4 = 7), so the GCF is the smaller number itself.

4 = 22

28 = 22 × 7

Prime428Lowest power
2222222
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
491
4102
4124
4131
4142
4151
4164
4182
4204
4211
4231
4244
4251
4262
4271
4284
4302
4324
4351
4364
4371
4404
4422
4444
4451
4484
4502
4524
4531
4571

FAQ

What is the Greatest Common Divisor of 4 and 28?

GCF (HCF) of 4 and 28 is 4

How to find the GCF of 4 and 28?

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

What prime factors do 4 and 28 share?

The prime factorizations of 4 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 4/28?

Divide the numerator and the denominator by the GCF 4: 4 ÷ 4 = 1 and 28 ÷ 4 = 7. So 4/28 in lowest terms is 1/7.

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