GCF (HCF) of 9 and 42

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Greatest Common Factor of
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What is the Greatest Common Divisor of 9 and 42?

Answer

GCF (HCF) of 9 and 42 is
3

Common factors: 1, 3

3 divides both: 9 ÷ 3 = 3, 42 ÷ 3 = 14 — and 3 and 14 share no factor but 1, so no larger number divides both.

9 = 32

42 = 2 × 3 × 7

Prime942Lowest power
2—2—
33233
7—7—

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

GCF = 3

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GCF Table

Number 1Number 2GCF
9189
9191
9201
9213
9221
9243
9251
9261
9279
9281
9291
9303
9321
9341
9351
9369
9393
9401
9423
9459
9461
9483
9491
9501
9549
9561
9639
9641
91001
91211

FAQ

What is the Greatest Common Divisor of 9 and 42?

GCF (HCF) of 9 and 42 is 3

How to find the GCF of 9 and 42?

You can find the GCF of 9 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 42 is 3.

What prime factors do 9 and 42 share?

The prime factorizations of 9 and 42 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

How does the GCF reduce the fraction 9/42?

Divide the numerator and the denominator by the GCF 3: 9 ÷ 3 = 3 and 42 ÷ 3 = 14. So 9/42 in lowest terms is 3/14.

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