GCF (HCF) of 135 and 441

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What is the Greatest Common Divisor of 135 and 441?

Answer

GCF (HCF) of 135 and 441 is
9

Common factors: 1, 3, 9

9 divides both: 135 ÷ 9 = 15, 441 ÷ 9 = 49 — and 15 and 49 share no factor but 1, so no larger number divides both.

135 = 33 × 5

441 = 32 × 72

Prime135441Lowest power
3333232
55——
7—72—

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

GCF = 32 = 9

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GCF Table

Number 1Number 2GCF
1354263
1354271
1354281
1354293
1354305
1354311
13543227
1354331
1354341
13543515
1354361
1354371
1354383
1354391
1354405
1354419
1354421
1354431
1354443
1354455
1354461
1354473
1354481
1354491
13545045
1354511
1354521
1354533
1354541
1354555

FAQ

What is the Greatest Common Divisor of 135 and 441?

GCF (HCF) of 135 and 441 is 9

How to find the GCF of 135 and 441?

You can find the GCF of 135 and 441 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 135 and 441 is 9.

What prime factors do 135 and 441 share?

The prime factorizations of 135 and 441 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

How does the GCF reduce the fraction 135/441?

Divide the numerator and the denominator by the GCF 9: 135 ÷ 9 = 15 and 441 ÷ 9 = 49. So 135/441 in lowest terms is 15/49.

See Also