GCF (HCF) of 4 and 24

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Greatest Common Factor of
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What is the Greatest Common Divisor of 4 and 24?

Answer

GCF (HCF) of 4 and 24 is
4

Common factors: 1, 2, 4

4 divides 24 (24 ÷ 4 = 6), so the GCF is the smaller number itself.

4 = 22

24 = 23 × 3

Prime424Lowest power
2222322
3—3—

— = 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
451
462
471
484
491
4102
4124
4131
4142
4151
4164
4182
4204
4211
4231
4244
4251
4262
4271
4284
4324
4351
4371
4404
4444
4451
4484
4524
4531
4571

FAQ

What is the Greatest Common Divisor of 4 and 24?

GCF (HCF) of 4 and 24 is 4

How to find the GCF of 4 and 24?

You can find the GCF of 4 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 4 and 24 is 4.

What prime factors do 4 and 24 share?

The prime factorizations of 4 and 24 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 4/24?

Divide the numerator and the denominator by the GCF 4: 4 ÷ 4 = 1 and 24 ÷ 4 = 6. So 4/24 in lowest terms is 1/6.

See Also