GCF (HCF) of 16 and 22

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What is the Greatest Common Divisor of 16 and 22?

Answer

GCF (HCF) of 16 and 22 is
2

Common factors: 1, 2

2 divides both: 16 ÷ 2 = 8, 22 ÷ 2 = 11 — and 8 and 11 share no factor but 1, so no larger number divides both.

16 = 24

22 = 2 × 11

Prime1622Lowest power
22422
11—11—

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

GCF = 2

See Also

FAQ

What is the Greatest Common Divisor of 16 and 22?

GCF (HCF) of 16 and 22 is 2

How to find the GCF of 16 and 22?

You can find the GCF of 16 and 22 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 22 is 2.

What prime factors do 16 and 22 share?

The prime factorizations of 16 and 22 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

How does the GCF reduce the fraction 16/22?

Divide the numerator and the denominator by the GCF 2: 16 ÷ 2 = 8 and 22 ÷ 2 = 11. So 16/22 in lowest terms is 8/11.