GCF (HCF) of 24 and 96

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What is the Greatest Common Divisor of 24 and 96?

Answer

GCF (HCF) of 24 and 96 is
24

Common factors: 1, 2, 3, 4, 6, 8, 12, 24

24 divides 96 (96 ÷ 24 = 4), so the GCF is the smaller number itself.

24 = 23 × 3

96 = 25 × 3

Prime2496Lowest power
2232523
3333

GCF = 23 × 3 = 24

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GCF Table

Number 1Number 2GCF
243612
24371
24382
24393
24408
24411
24426
24431
24444
24453
24462
244824
24502
24524
24531
24546
24568
246012
24648
247224
24808
248412
24888
24906
249624
241004
241048
2412024
242106
241,0008

FAQ

What is the Greatest Common Divisor of 24 and 96?

GCF (HCF) of 24 and 96 is 24

How to find the GCF of 24 and 96?

You can find the GCF of 24 and 96 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 96 is 24.

What prime factors do 24 and 96 share?

The prime factorizations of 24 and 96 have 2 × 2 × 2 × 3 in common, and multiplying those shared primes gives 24 — exactly the greatest common factor.

How does the GCF reduce the fraction 24/96?

Divide the numerator and the denominator by the GCF 24: 24 ÷ 24 = 1 and 96 ÷ 24 = 4. So 24/96 in lowest terms is 1/4.

See Also