GCF (HCF) of 75 and 135

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Greatest Common Factor of
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What is the Greatest Common Divisor of 75 and 135?

Answer

GCF (HCF) of 75 and 135 is
15

Common factors: 1, 3, 5, 15

15 divides both: 75 ÷ 15 = 5, 135 ÷ 15 = 9 — and 5 and 9 share no factor but 1, so no larger number divides both.

75 = 3 × 52

135 = 33 × 5

Prime75135Lowest power
33333
55255

GCF = 3 × 5 = 15

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GCF Table

Number 1Number 2GCF
7512015
751211
751221
751233
751241
7512525
751263
751271
751281
751293
751305
751311
751323
751331
751341
7513515
751361
751371
751383
751391
751405
751413
751421
751431
751443
751455
751461
751473
751481
751491

FAQ

What is the Greatest Common Divisor of 75 and 135?

GCF (HCF) of 75 and 135 is 15

How to find the GCF of 75 and 135?

You can find the GCF of 75 and 135 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 75 and 135 is 15.

What prime factors do 75 and 135 share?

The prime factorizations of 75 and 135 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 75/135?

Divide the numerator and the denominator by the GCF 15: 75 ÷ 15 = 5 and 135 ÷ 15 = 9. So 75/135 in lowest terms is 5/9.

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