GCF (HCF) of 52 and 68

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What is the Greatest Common Divisor of 52 and 68?

Answer

GCF (HCF) of 52 and 68 is
4

Common factors: 1, 2, 4

4 divides both: 52 ÷ 4 = 13, 68 ÷ 4 = 17 — and 13 and 17 share no factor but 1, so no larger number divides both.

52 = 22 × 13

68 = 22 × 17

Prime5268Lowest power
2222222
1313——
17—17—

— = 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
52531
52542
52551
52564
52571
52582
52591
52604
52611
52622
52631
52644
526513
52662
52671
52684
52691
52702
52711
52724
52731
52742
52751
52764
52771
527826
52791
52804
52811
52822

FAQ

What is the Greatest Common Divisor of 52 and 68?

GCF (HCF) of 52 and 68 is 4

How to find the GCF of 52 and 68?

You can find the GCF of 52 and 68 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 68 is 4.

What prime factors do 52 and 68 share?

The prime factorizations of 52 and 68 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 52/68?

Divide the numerator and the denominator by the GCF 4: 52 ÷ 4 = 13 and 68 ÷ 4 = 17. So 52/68 in lowest terms is 13/17.

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