GCF (HCF) of 84 and 128

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What is the Greatest Common Divisor of 84 and 128?

Answer

GCF (HCF) of 84 and 128 is
4

Common factors: 1, 2, 4

4 divides both: 84 ÷ 4 = 21, 128 ÷ 4 = 32 — and 21 and 32 share no factor but 1, so no larger number divides both.

84 = 22 × 3 × 7

128 = 27

Prime84128Lowest power
2222722
33——
77——

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

GCF = 22 = 4

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GCF Table

Number 1Number 2GCF
841131
841146
841151
841164
841173
841182
841197
8412012
841211
841222
841233
841244
841251
8412642
841271
841284
841293
841302
841311
8413212
841337
841342
841353
841364
841371
841386
841391
8414028
841413
841422

FAQ

What is the Greatest Common Divisor of 84 and 128?

GCF (HCF) of 84 and 128 is 4

How to find the GCF of 84 and 128?

You can find the GCF of 84 and 128 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 128 is 4.

What prime factors do 84 and 128 share?

The prime factorizations of 84 and 128 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 84/128?

Divide the numerator and the denominator by the GCF 4: 84 ÷ 4 = 21 and 128 ÷ 4 = 32. So 84/128 in lowest terms is 21/32.

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