GCF (HCF) of 88 and 132

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What is the Greatest Common Divisor of 88 and 132?

Answer

GCF (HCF) of 88 and 132 is
44

Common factors: 1, 2, 4, 11, 22, 44

44 divides both: 88 ÷ 44 = 2, 132 ÷ 44 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

88 = 23 × 11

132 = 22 × 3 × 11

Prime88132Lowest power
2232222
3—3—
11111111

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

GCF = 22 × 11 = 44

See Also

GCF Table

Number 1Number 2GCF
881171
881182
881191
881208
8812111
881222
881231
881244
881251
881262
881271
881288
881291
881302
881311
8813244
881331
881342
881351
881368
881371
881382
881391
881404
881411
881422
8814311
881448
881451
881462

FAQ

What is the Greatest Common Divisor of 88 and 132?

GCF (HCF) of 88 and 132 is 44

How to find the GCF of 88 and 132?

You can find the GCF of 88 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 88 and 132 is 44.

What prime factors do 88 and 132 share?

The prime factorizations of 88 and 132 have 2 × 2 × 11 in common, and multiplying those shared primes gives 44 — exactly the greatest common factor.

How does the GCF reduce the fraction 88/132?

Divide the numerator and the denominator by the GCF 44: 88 ÷ 44 = 2 and 132 ÷ 44 = 3. So 88/132 in lowest terms is 2/3.