GCF (HCF) of 38 and 60

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What is the Greatest Common Divisor of 38 and 60?

Answer

GCF (HCF) of 38 and 60 is
2

Common factors: 1, 2

2 divides both: 38 ÷ 2 = 19, 60 ÷ 2 = 30 — and 19 and 30 share no factor but 1, so no larger number divides both.

38 = 2 × 19

60 = 22 × 3 × 5

Prime3860Lowest power
22222
3—3—
5—5—
1919——

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

GCF = 2

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GCF Table

Number 1Number 2GCF
38402
38411
38422
38442
38462
38482
38491
38502
38522
38542
385719
38582
38591
38602
389519

FAQ

What is the Greatest Common Divisor of 38 and 60?

GCF (HCF) of 38 and 60 is 2

How to find the GCF of 38 and 60?

You can find the GCF of 38 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 60 is 2.

What prime factors do 38 and 60 share?

The prime factorizations of 38 and 60 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 38/60?

Divide the numerator and the denominator by the GCF 2: 38 ÷ 2 = 19 and 60 ÷ 2 = 30. So 38/60 in lowest terms is 19/30.

See Also