GCF (HCF) of 52 and 56

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What is the Greatest Common Divisor of 52 and 56?

Answer

GCF (HCF) of 52 and 56 is
4

Common factors: 1, 2, 4

4 divides both: 52 ÷ 4 = 13, 56 ÷ 4 = 14 — and 13 and 14 share no factor but 1, so no larger number divides both.

52 = 22 × 13

56 = 23 × 7

Prime5256Lowest power
2222322
7—7—
1313——

— = 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
52411
52422
52431
52444
52451
52462
52471
52484
52491
52502
52511
525252
52531
52542
52551
52564
52571
52582
52591
52604
52611
52622
52631
52644
526513
52662
52671
52684
52691
52702

FAQ

What is the Greatest Common Divisor of 52 and 56?

GCF (HCF) of 52 and 56 is 4

How to find the GCF of 52 and 56?

You can find the GCF of 52 and 56 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 56 is 4.

What prime factors do 52 and 56 share?

The prime factorizations of 52 and 56 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 52/56?

Divide the numerator and the denominator by the GCF 4: 52 ÷ 4 = 13 and 56 ÷ 4 = 14. So 52/56 in lowest terms is 13/14.

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