GCF (HCF) of 8 and 24

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What is the Greatest Common Divisor of 8 and 24?

Answer

GCF (HCF) of 8 and 24 is
8

Common factors: 1, 2, 4, 8

8 divides 24 (24 ÷ 8 = 3), so the GCF is the smaller number itself.

8 = 23

24 = 23 × 3

Prime824Lowest power
2232323
3—3—

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

GCF = 23 = 8

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GCF Table

Number 1Number 2GCF
851
862
891
8102
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

FAQ

What is the Greatest Common Divisor of 8 and 24?

GCF (HCF) of 8 and 24 is 8

How to find the GCF of 8 and 24?

You can find the GCF of 8 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 24 is 8.

What prime factors do 8 and 24 share?

The prime factorizations of 8 and 24 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

How does the GCF reduce the fraction 8/24?

Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 24 ÷ 8 = 3. So 8/24 in lowest terms is 1/3.

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