GCF (HCF) of 132 and 198

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What is the Greatest Common Divisor of 132 and 198?

Answer

GCF (HCF) of 132 and 198 is
66

Common factors: 1, 2, 3, 6, 11, 22, 33, 66

66 divides both: 132 ÷ 66 = 2, 198 ÷ 66 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

132 = 22 × 3 × 11

198 = 2 × 32 × 11

Prime132198Lowest power
22222
33323
11111111

GCF = 2 × 3 × 11 = 66

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GCF Table

Number 1Number 2GCF
1321833
1321844
1321851
1321866
13218711
1321884
1321893
1321902
1321911
13219212
1321931
1321942
1321953
1321964
1321971
13219866
1321991
1322004
1322013
1322022
1322031
13220412
1322051
1322062
1322073
1322084
13220911
1322106
1322111
1322124

FAQ

What is the Greatest Common Divisor of 132 and 198?

GCF (HCF) of 132 and 198 is 66

How to find the GCF of 132 and 198?

You can find the GCF of 132 and 198 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 132 and 198 is 66.

What prime factors do 132 and 198 share?

The prime factorizations of 132 and 198 have 2 × 3 × 11 in common, and multiplying those shared primes gives 66 — exactly the greatest common factor.

How does the GCF reduce the fraction 132/198?

Divide the numerator and the denominator by the GCF 66: 132 ÷ 66 = 2 and 198 ÷ 66 = 3. So 132/198 in lowest terms is 2/3.

See Also