GCF (HCF) of 96 and 404

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What is the Greatest Common Divisor of 96 and 404?

Answer

GCF (HCF) of 96 and 404 is
4

Common factors: 1, 2, 4

4 divides both: 96 ÷ 4 = 24, 404 ÷ 4 = 101 — and 24 and 101 share no factor but 1, so no larger number divides both.

96 = 25 × 3

404 = 22 × 101

Prime96404Lowest power
2252222
33——
101—101—

— = 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
963891
963906
963911
963928
963933
963942
963951
9639612
963971
963982
963993
9640016
964011
964026
964031
964044
964053
964062
964071
9640824
964091
964102
964113
964124
964131
964146
964151
9641632
964173
964182

FAQ

What is the Greatest Common Divisor of 96 and 404?

GCF (HCF) of 96 and 404 is 4

How to find the GCF of 96 and 404?

You can find the GCF of 96 and 404 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 404 is 4.

What prime factors do 96 and 404 share?

The prime factorizations of 96 and 404 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 96/404?

Divide the numerator and the denominator by the GCF 4: 96 ÷ 4 = 24 and 404 ÷ 4 = 101. So 96/404 in lowest terms is 24/101.

See Also