GCF (HCF) of 84 and 108

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 84 and 108?

Answer

GCF (HCF) of 84 and 108 is
12

Common factors: 1, 2, 3, 4, 6, 12

12 divides both: 84 ÷ 12 = 7, 108 ÷ 12 = 9 — and 7 and 9 share no factor but 1, so no larger number divides both.

84 = 22 × 3 × 7

108 = 22 × 33

Prime84108Lowest power
2222222
33333
77——

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

GCF = 22 × 3 = 12

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
84933
84942
84951
849612
84971
849814
84993
841004
841011
841026
841031
841044
8410521
841062
841071
8410812
841091
841102
841113
8411228
841131
841146
841151
841164
841173
841182
841197
8412012
841211
841222

FAQ

What is the Greatest Common Divisor of 84 and 108?

GCF (HCF) of 84 and 108 is 12

How to find the GCF of 84 and 108?

You can find the GCF of 84 and 108 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 108 is 12.

What prime factors do 84 and 108 share?

The prime factorizations of 84 and 108 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

How does the GCF reduce the fraction 84/108?

Divide the numerator and the denominator by the GCF 12: 84 ÷ 12 = 7 and 108 ÷ 12 = 9. So 84/108 in lowest terms is 7/9.

See Also