GCF (HCF) of 24 and 54

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Greatest Common Factor of
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What is the Greatest Common Divisor of 24 and 54?

Answer

GCF (HCF) of 24 and 54 is
6

Common factors: 1, 2, 3, 6

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

24 = 23 × 3

54 = 2 × 33

Prime2454Lowest power
22322
33333

GCF = 2 × 3 = 6

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GCF Table

Number 1Number 2GCF
24351
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012
24648
247224
248412
24888
24906
249624
241004
241048
2412024
242106
241,0008

FAQ

What is the Greatest Common Divisor of 24 and 54?

GCF (HCF) of 24 and 54 is 6

How to find the GCF of 24 and 54?

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

What prime factors do 24 and 54 share?

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

How does the GCF reduce the fraction 24/54?

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

See Also