GCF (HCF) of 54 and 24

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What is the Greatest Common Divisor of 54 and 24?

Answer

GCF (HCF) of 54 and 24 is
6

Common factors: 1, 2, 3, 6

6 divides both: 54 ÷ 6 = 9, 24 ÷ 6 = 4 — and 9 and 4 share no factor but 1, so no larger number divides both.

54 = 2 × 33

24 = 23 × 3

Prime5424Lowest power
22232
33333

GCF = 2 × 3 = 6

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GCF Table

Number 1Number 2GCF
5499
54102
54111
54126
54131
54142
54153
54162
54171
541818
54191
54202
54213
54222
54231
54246
54251
54262
542727
54282
54291
54306
54311
54322
54333
54342
54351
543618
54371
54382

FAQ

What is the Greatest Common Divisor of 54 and 24?

GCF (HCF) of 54 and 24 is 6

How to find the GCF of 54 and 24?

You can find the GCF of 54 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 54 and 24 is 6.

What prime factors do 54 and 24 share?

The prime factorizations of 54 and 24 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 54/24?

Divide the numerator and the denominator by the GCF 6: 54 ÷ 6 = 9 and 24 ÷ 6 = 4. So 54/24 in lowest terms is 9/4.

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