GCF (HCF) of 77 and 56

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Greatest Common Factor of
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What is the Greatest Common Divisor of 77 and 56?

Answer

GCF (HCF) of 77 and 56 is
7

Common factors: 1, 7

7 divides both: 77 ÷ 7 = 11, 56 ÷ 7 = 8 — and 11 and 8 share no factor but 1, so no larger number divides both.

77 = 7 × 11

56 = 23 × 7

Prime7756Lowest power
2—23—
7777
1111——

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

GCF = 7

See Also

GCF Table

Number 1Number 2GCF
77411
77427
77431
774411
77451
77461
77471
77481
77497
77501
77511
77521
77531
77541
775511
77567
77571
77581
77591
77601
77611
77621
77637
77641
77651
776611
77671
77681
77691
77707

FAQ

What is the Greatest Common Divisor of 77 and 56?

GCF (HCF) of 77 and 56 is 7

How to find the GCF of 77 and 56?

You can find the GCF of 77 and 56 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 77 and 56 is 7.

What prime factors do 77 and 56 share?

The prime factorizations of 77 and 56 have 7 in common, and multiplying those shared primes gives 7 — exactly the greatest common factor.

How does the GCF reduce the fraction 77/56?

Divide the numerator and the denominator by the GCF 7: 77 ÷ 7 = 11 and 56 ÷ 7 = 8. So 77/56 in lowest terms is 11/8.