GCF (HCF) of 66 and 84

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 66 and 84?

Answer

GCF (HCF) of 66 and 84 is
6

Common factors: 1, 2, 3, 6

6 divides both: 66 ÷ 6 = 11, 84 ÷ 6 = 14 — and 11 and 14 share no factor but 1, so no larger number divides both.

66 = 2 × 3 × 11

84 = 22 × 3 × 7

Prime6684Lowest power
22222
3333
7—7—
1111——

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

GCF = 2 × 3 = 6

More with these numbers

Related Calculations

See Also

GCF Table

Number 1Number 2GCF
66693
66702
66711
66726
66731
66742
66753
66762
667711
66786
66791
66802
66813
66822
66831
66846
66851
66862
66873
668822
66891
66906
66911
66922
66933
66942
66951
66966
66971
66982

FAQ

What is the Greatest Common Divisor of 66 and 84?

GCF (HCF) of 66 and 84 is 6

How to find the GCF of 66 and 84?

You can find the GCF of 66 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 66 and 84 is 6.

What prime factors do 66 and 84 share?

The prime factorizations of 66 and 84 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

How does the GCF reduce the fraction 66/84?

Divide the numerator and the denominator by the GCF 6: 66 ÷ 6 = 11 and 84 ÷ 6 = 14. So 66/84 in lowest terms is 11/14.

See Also