GCF (HCF) of 77 and 308

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What is the Greatest Common Divisor of 77 and 308?

Answer

GCF (HCF) of 77 and 308 is
77

Common factors: 1, 7, 11, 77

77 divides 308 (308 ÷ 77 = 4), so the GCF is the smaller number itself.

77 = 7 × 11

308 = 22 × 7 × 11

Prime77308Lowest power
2—22—
7777
11111111

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

GCF = 7 × 11 = 77

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GCF Table

Number 1Number 2GCF
772931
772947
772951
772961
7729711
772981
772991
773001
773017
773021
773031
773041
773051
773061
773071
7730877
773091
773101
773111
773121
773131
773141
773157
773161
773171
773181
7731911
773201
773211
773227

FAQ

What is the Greatest Common Divisor of 77 and 308?

GCF (HCF) of 77 and 308 is 77

How to find the GCF of 77 and 308?

You can find the GCF of 77 and 308 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 77 and 308 is 77.

What prime factors do 77 and 308 share?

The prime factorizations of 77 and 308 have 7 × 11 in common, and multiplying those shared primes gives 77 — exactly the greatest common factor.

How does the GCF reduce the fraction 77/308?

Divide the numerator and the denominator by the GCF 77: 77 ÷ 77 = 1 and 308 ÷ 77 = 4. So 77/308 in lowest terms is 1/4.

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