GCF of 135 and 165 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 135 and 165?

Answer

GCF of 135 and 165 is
15

(Fifteen)

Finding GCF for 135 and 165 using all factors (divisors) listing

The first method to find GCF for numbers 135 and 165 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 165: 1, 3, 5, 11, 15, 33, 55, 165

So the Greatest Common Factor for 135 and 165 is 15

Finding GCF for 135 and 165 by Prime Factorization

The second method to find GCF for numbers 135 and 165 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 165: 3, 5, 11

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

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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 165? (The answer is: 15). Select the first number (e.g. '135') and the second number (e.g. '165'). 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
13515015
1351511
1351521
1351539
1351541
1351555
1351563
1351571
1351581
1351593
1351605
1351611
13516227
1351631
1351641
13516515
1351661
1351671
1351683
1351691
1351705
1351719
1351721
1351731
1351743
1351755
1351761
1351773
1351781
1351791

FAQ

What is the Greatest Common Divisor of 135 and 165?

GCF of 135 and 165 is 15

How to find the GCF of 135 and 165?

You can find the GCF of 135 and 165 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 135 and 165 is 15.

What prime factors do 135 and 165 share?

The prime factorizations of 135 and 165 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

How does the GCF reduce the fraction 135/165?

Divide the numerator and the denominator by the GCF 15: 135 ÷ 15 = 9 and 165 ÷ 15 = 11. So 135/165 in lowest terms is 9/11.

See Also