GCF (HCF) of 52 and 60

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What is the Greatest Common Divisor of 52 and 60?

Answer

GCF (HCF) of 52 and 60 is
4

Common factors: 1, 2, 4

4 divides both: 52 ÷ 4 = 13, 60 ÷ 4 = 15 — and 13 and 15 share no factor but 1, so no larger number divides both.

52 = 22 × 13

60 = 22 × 3 × 5

Prime5260Lowest power
2222222
3—3—
5—5—
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
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
52711
52724
52731
52742

FAQ

What is the Greatest Common Divisor of 52 and 60?

GCF (HCF) of 52 and 60 is 4

How to find the GCF of 52 and 60?

You can find the GCF of 52 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 60 is 4.

What prime factors do 52 and 60 share?

The prime factorizations of 52 and 60 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 52/60?

Divide the numerator and the denominator by the GCF 4: 52 ÷ 4 = 13 and 60 ÷ 4 = 15. So 52/60 in lowest terms is 13/15.

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