GCF (HCF) of 38 and 42

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What is the Greatest Common Divisor of 38 and 42?

Answer

GCF (HCF) of 38 and 42 is
2

Common factors: 1, 2

2 divides both: 38 ÷ 2 = 19, 42 ÷ 2 = 21 — and 19 and 21 share no factor but 1, so no larger number divides both.

38 = 2 × 19

42 = 2 × 3 × 7

Prime3842Lowest power
2222
3—3—
7—7—
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
38271
38282
38291
38302
38311
38322
38331
38342
38351
38362
38371
383838
38391
38402
38411
38422
38431
38442
38451
38462
38471
38482
38491
38502
38511
38522
38531
38542
38551
38562

FAQ

What is the Greatest Common Divisor of 38 and 42?

GCF (HCF) of 38 and 42 is 2

How to find the GCF of 38 and 42?

You can find the GCF of 38 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 42 is 2.

What prime factors do 38 and 42 share?

The prime factorizations of 38 and 42 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 38/42?

Divide the numerator and the denominator by the GCF 2: 38 ÷ 2 = 19 and 42 ÷ 2 = 21. So 38/42 in lowest terms is 19/21.

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