GCF (HCF) of 16 and 128

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What is the Greatest Common Divisor of 16 and 128?

Answer

GCF (HCF) of 16 and 128 is
16

Common factors: 1, 2, 4, 8, 16

16 divides 128 (128 ÷ 16 = 8), so the GCF is the smaller number itself.

16 = 24

128 = 27

Prime16128Lowest power
2242724

GCF = 24 = 16

See Also

FAQ

What is the Greatest Common Divisor of 16 and 128?

GCF (HCF) of 16 and 128 is 16

How to find the GCF of 16 and 128?

You can find the GCF of 16 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 128 is 16.

What prime factors do 16 and 128 share?

The prime factorizations of 16 and 128 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

How does the GCF reduce the fraction 16/128?

Divide the numerator and the denominator by the GCF 16: 16 ÷ 16 = 1 and 128 ÷ 16 = 8. So 16/128 in lowest terms is 1/8.