GCF (HCF) of 24 and 48

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What is the Greatest Common Divisor of 24 and 48?

Answer

GCF (HCF) of 24 and 48 is
24

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

24 divides 48 (48 ÷ 24 = 2), so the GCF is the smaller number itself.

24 = 23 × 3

48 = 24 × 3

Prime2448Lowest power
2232423
3333

GCF = 23 × 3 = 24

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GCF Table

Number 1Number 2GCF
24328
24333
24342
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

FAQ

What is the Greatest Common Divisor of 24 and 48?

GCF (HCF) of 24 and 48 is 24

How to find the GCF of 24 and 48?

You can find the GCF of 24 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 48 is 24.

What prime factors do 24 and 48 share?

The prime factorizations of 24 and 48 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 24/48?

Divide the numerator and the denominator by the GCF 24: 24 ÷ 24 = 1 and 48 ÷ 24 = 2. So 24/48 in lowest terms is 1/2.

See Also