GCF (HCF) of 52 and 65

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 52 and 65?

Answer

GCF (HCF) of 52 and 65 is
13

Common factors: 1, 13

13 divides both: 52 ÷ 13 = 4, 65 ÷ 13 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

52 = 22 × 13

65 = 5 × 13

Prime5265Lowest power
222——
5—5—
13131313

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

GCF = 13

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
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
52751
52764
52771
527826
52791

FAQ

What is the Greatest Common Divisor of 52 and 65?

GCF (HCF) of 52 and 65 is 13

How to find the GCF of 52 and 65?

You can find the GCF of 52 and 65 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 65 is 13.

What prime factors do 52 and 65 share?

The prime factorizations of 52 and 65 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

How does the GCF reduce the fraction 52/65?

Divide the numerator and the denominator by the GCF 13: 52 ÷ 13 = 4 and 65 ÷ 13 = 5. So 52/65 in lowest terms is 4/5.

See Also