GCF of 135 and 225 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 135 and 225?

Answer

GCF of 135 and 225 is
45

(Forty-five)

Finding GCF for 135 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 135 and 225 is to list all factors for both numbers and pick the highest common one:

All factors of 135: 1, 3, 5, 9, 15, 27, 45, 135

All factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

So the Greatest Common Factor for 135 and 225 is 45

Finding GCF for 135 and 225 by Prime Factorization

The second method to find GCF for numbers 135 and 225 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 135: 3, 3, 3, 5

All Prime Factors of 225: 3, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 3, 3, 5

Now we need to multiply them to find GCF: 3 × 3 × 5 = 45

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About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 135 and 225? (The answer is: 45). Select the first number (e.g. '135') and the second number (e.g. '225'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

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 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