GCF (HCF) of 24 and 120

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What is the Greatest Common Divisor of 24 and 120?

Answer

GCF (HCF) of 24 and 120 is
24

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

24 divides 120 (120 ÷ 24 = 5), so the GCF is the smaller number itself.

24 = 23 × 3

120 = 23 × 3 × 5

Prime24120Lowest power
2232323
3333
5—5—

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

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 120?

GCF (HCF) of 24 and 120 is 24

How to find the GCF of 24 and 120?

You can find the GCF of 24 and 120 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 120 is 24.

What prime factors do 24 and 120 share?

The prime factorizations of 24 and 120 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 24/120?

Divide the numerator and the denominator by the GCF 24: 24 ÷ 24 = 1 and 120 ÷ 24 = 5. So 24/120 in lowest terms is 1/5.

See Also