GCF (HCF) of 121 and 132

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What is the Greatest Common Divisor of 121 and 132?

Answer

GCF (HCF) of 121 and 132 is
11

Common factors: 1, 11

11 divides both: 121 ÷ 11 = 11, 132 ÷ 11 = 12 — and 11 and 12 share no factor but 1, so no larger number divides both.

121 = 112

132 = 22 × 3 × 11

Prime121132Lowest power
2—22—
3—3—
111121111

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

GCF = 11

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GCF Table

Number 1Number 2GCF
1211171
1211181
1211191
1211201
121121121
1211221
1211231
1211241
1211251
1211261
1211271
1211281
1211291
1211301
1211311
12113211
1211331
1211341
1211351
1211361
1211371
1211381
1211391
1211401
1211411
1211421
12114311
1211441
1211451
1211461

FAQ

What is the Greatest Common Divisor of 121 and 132?

GCF (HCF) of 121 and 132 is 11

How to find the GCF of 121 and 132?

You can find the GCF of 121 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 121 and 132 is 11.

What prime factors do 121 and 132 share?

The prime factorizations of 121 and 132 have 11 in common, and multiplying those shared primes gives 11 — exactly the greatest common factor.

How does the GCF reduce the fraction 121/132?

Divide the numerator and the denominator by the GCF 11: 121 ÷ 11 = 11 and 132 ÷ 11 = 12. So 121/132 in lowest terms is 11/12.

See Also