GCF (HCF) of 78 and 104

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What is the Greatest Common Divisor of 78 and 104?

Answer

GCF (HCF) of 78 and 104 is
26

Common factors: 1, 2, 13, 26

26 divides both: 78 ÷ 26 = 3, 104 ÷ 26 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

78 = 2 × 3 × 13

104 = 23 × 13

Prime78104Lowest power
22232
33——
13131313

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

GCF = 2 × 13 = 26

See Also

GCF Table

Number 1Number 2GCF
78891
78906
789113
78922
78933
78942
78951
78966
78971
78982
78993
781002
781011
781026
781031
7810426
781053
781062
781071
781086
781091
781102
781113
781122
781131
781146
781151
781162
7811739
781182

FAQ

What is the Greatest Common Divisor of 78 and 104?

GCF (HCF) of 78 and 104 is 26

How to find the GCF of 78 and 104?

You can find the GCF of 78 and 104 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 78 and 104 is 26.

What prime factors do 78 and 104 share?

The prime factorizations of 78 and 104 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

How does the GCF reduce the fraction 78/104?

Divide the numerator and the denominator by the GCF 26: 78 ÷ 26 = 3 and 104 ÷ 26 = 4. So 78/104 in lowest terms is 3/4.