GCF (HCF) of 68 and 84

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 68 and 84?

Answer

GCF (HCF) of 68 and 84 is
4

Common factors: 1, 2, 4

4 divides both: 68 ÷ 4 = 17, 84 ÷ 4 = 21 — and 17 and 21 share no factor but 1, so no larger number divides both.

68 = 22 × 17

84 = 22 × 3 × 7

Prime6884Lowest power
2222222
3—3—
7—7—
1717——

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

GCF = 22 = 4

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
68691
68702
68711
68724
68731
68742
68751
68764
68771
68782
68791
68804
68811
68822
68831
68844
688517
68862
68871
68884
68891
68902
68911
68924
68931
68942
68951
68964
68971
68982

FAQ

What is the Greatest Common Divisor of 68 and 84?

GCF (HCF) of 68 and 84 is 4

How to find the GCF of 68 and 84?

You can find the GCF of 68 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 68 and 84 is 4.

What prime factors do 68 and 84 share?

The prime factorizations of 68 and 84 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

How does the GCF reduce the fraction 68/84?

Divide the numerator and the denominator by the GCF 4: 68 ÷ 4 = 17 and 84 ÷ 4 = 21. So 68/84 in lowest terms is 17/21.

See Also