GCF (HCF) of 44 and 48

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What is the Greatest Common Divisor of 44 and 48?

Answer

GCF (HCF) of 44 and 48 is
4

Common factors: 1, 2, 4

4 divides both: 44 ÷ 4 = 11, 48 ÷ 4 = 12 — and 11 and 12 share no factor but 1, so no larger number divides both.

44 = 22 × 11

48 = 24 × 3

Prime4448Lowest power
2222422
3—3—
1111——

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

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
443311
44342
44351
44364
44371
44382
44391
44404
44411
44422
44431
444444
44451
44462
44471
44484
44491
44502
44511
44524
44531
44542
445511
44564
44571
44582
44591
44604
44611
44622

FAQ

What is the Greatest Common Divisor of 44 and 48?

GCF (HCF) of 44 and 48 is 4

How to find the GCF of 44 and 48?

You can find the GCF of 44 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 44 and 48 is 4.

What prime factors do 44 and 48 share?

The prime factorizations of 44 and 48 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 44/48?

Divide the numerator and the denominator by the GCF 4: 44 ÷ 4 = 11 and 48 ÷ 4 = 12. So 44/48 in lowest terms is 11/12.

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