GCF for 105 and 135

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 105 and 135?

Answer: GCF of 105 and 135 is 15

(Fifteen)

Finding GCF for 105 and 135 using all factors (divisors) listing

The first method to find GCF for numbers 105 and 135 is to list all factors for both numbers and pick the highest common one:

All factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

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

So the Greatest Common Factor for 105 and 135 is 15

Finding GCF for 105 and 135 by Prime Factorization

The second method to find GCF for numbers 105 and 135 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 105: 3, 5, 7

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

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

Now we need to multiply them to find GCF: 3 × 5 = 15

See Also

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 105 and 135? (The answer is: 15). Select the first number (e.g. '105') and the second number (e.g. '135'). 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
9013545
911351
921351
931353
941351
951355
961353
971351
981351
991359
1001355
1011351
1021353
1031351
1041351
10513515
1061351
1071351
10813527
1091351
1101355
1111353
1121351
1131351
1141353
1151355
1161351
1171359
1181351
1191351

FAQ

What is the Greatest common Divisor of 105 and 135?

GCF of 105 and 135 is 15

See Also