GCF (HCF) of 135 and 225

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What is the Greatest Common Divisor of 135 and 225?

Answer

GCF (HCF) of 135 and 225 is
45

Common factors: 1, 3, 5, 9, 15, 45

45 divides both: 135 ÷ 45 = 3, 225 ÷ 45 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

135 = 33 × 5

225 = 32 × 52

Prime135225Lowest power
3333232
55525

GCF = 32 × 5 = 45

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GCF Table

Number 1Number 2GCF
13521015
1352111
1352121
1352133
1352141
1352155
13521627
1352171
1352181
1352193
1352205
1352211
1352223
1352231
1352241
13522545
1352261
1352271
1352283
1352291
1352305
1352313
1352321
1352331
1352349
1352355
1352361
1352373
1352381
1352391

FAQ

What is the Greatest Common Divisor of 135 and 225?

GCF (HCF) of 135 and 225 is 45

How to find the GCF of 135 and 225?

You can find the GCF of 135 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 135 and 225 is 45.

What prime factors do 135 and 225 share?

The prime factorizations of 135 and 225 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

How does the GCF reduce the fraction 135/225?

Divide the numerator and the denominator by the GCF 45: 135 ÷ 45 = 3 and 225 ÷ 45 = 5. So 135/225 in lowest terms is 3/5.

See Also