GCF (HCF) of 66 and 88

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What is the Greatest Common Divisor of 66 and 88?

Answer

GCF (HCF) of 66 and 88 is
22

Common factors: 1, 2, 11, 22

22 divides both: 66 ÷ 22 = 3, 88 ÷ 22 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

66 = 2 × 3 × 11

88 = 23 × 11

Prime6688Lowest power
22232
33——
11111111

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

GCF = 2 × 11 = 22

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GCF Table

Number 1Number 2GCF
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
669933
661002
661011
661026

FAQ

What is the Greatest Common Divisor of 66 and 88?

GCF (HCF) of 66 and 88 is 22

How to find the GCF of 66 and 88?

You can find the GCF of 66 and 88 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 66 and 88 is 22.

What prime factors do 66 and 88 share?

The prime factorizations of 66 and 88 have 2 × 11 in common, and multiplying those shared primes gives 22 — exactly the greatest common factor.

How does the GCF reduce the fraction 66/88?

Divide the numerator and the denominator by the GCF 22: 66 ÷ 22 = 3 and 88 ÷ 22 = 4. So 66/88 in lowest terms is 3/4.

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