GCF (HCF) of 38 and 52

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What is the Greatest Common Divisor of 38 and 52?

Answer

GCF (HCF) of 38 and 52 is
2

Common factors: 1, 2

2 divides both: 38 ÷ 2 = 19, 52 ÷ 2 = 26 — and 19 and 26 share no factor but 1, so no larger number divides both.

38 = 2 × 19

52 = 22 × 13

Prime3852Lowest power
22222
13—13—
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 52?

GCF (HCF) of 38 and 52 is 2

How to find the GCF of 38 and 52?

You can find the GCF of 38 and 52 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 52 is 2.

What prime factors do 38 and 52 share?

The prime factorizations of 38 and 52 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 38/52?

Divide the numerator and the denominator by the GCF 2: 38 ÷ 2 = 19 and 52 ÷ 2 = 26. So 38/52 in lowest terms is 19/26.

See Also