GCF (HCF) of 39 and 130

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 39 and 130?

Answer

GCF (HCF) of 39 and 130 is
13

Common factors: 1, 13

13 divides both: 39 ÷ 13 = 3, 130 ÷ 13 = 10 — and 3 and 10 share no factor but 1, so no larger number divides both.

39 = 3 × 13

130 = 2 × 5 × 13

Prime39130Lowest power
2—2—
33——
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
39401
39411
39423
39431
39453
39471
39483
39491
39513
395213
39531
39543
39561
396513
3913013

FAQ

What is the Greatest Common Divisor of 39 and 130?

GCF (HCF) of 39 and 130 is 13

How to find the GCF of 39 and 130?

You can find the GCF of 39 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 39 and 130 is 13.

What prime factors do 39 and 130 share?

The prime factorizations of 39 and 130 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

How does the GCF reduce the fraction 39/130?

Divide the numerator and the denominator by the GCF 13: 39 ÷ 13 = 3 and 130 ÷ 13 = 10. So 39/130 in lowest terms is 3/10.

See Also