GCF (HCF) of 132 and 242

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What is the Greatest Common Divisor of 132 and 242?

Answer

GCF (HCF) of 132 and 242 is
22

Common factors: 1, 2, 11, 22

22 divides both: 132 ÷ 22 = 6, 242 ÷ 22 = 11 — and 6 and 11 share no factor but 1, so no larger number divides both.

132 = 22 × 3 × 11

242 = 2 × 112

Prime132242Lowest power
22222
33——
111111211

— = 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
1322271
13222812
1322291
1322302
13223133
1322324
1322331
1322346
1322351
1322364
1322373
1322382
1322391
13224012
1322411
13224222
1322433
1322444
1322451
1322466
1322471
1322484
1322493
1322502
1322511
13225212
13225311
1322542
1322553
1322564

FAQ

What is the Greatest Common Divisor of 132 and 242?

GCF (HCF) of 132 and 242 is 22

How to find the GCF of 132 and 242?

You can find the GCF of 132 and 242 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 132 and 242 is 22.

What prime factors do 132 and 242 share?

The prime factorizations of 132 and 242 have 2 × 11 in common, and multiplying those shared primes gives 22 — exactly the greatest common factor.

How does the GCF reduce the fraction 132/242?

Divide the numerator and the denominator by the GCF 22: 132 ÷ 22 = 6 and 242 ÷ 22 = 11. So 132/242 in lowest terms is 6/11.

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