GCF for 135 and 270

What is the Greatest common Divisor of 135 and 270?

Answer: GCF of 135 and 270 is 135

(One hundred thirty-five)

Finding GCF for 135 and 270 using all factors (divisors) listing

The first method to find GCF for numbers 135 and 270 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 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

So the Greatest Common Factor for 135 and 270 is 135

Finding GCF for 135 and 270 by Prime Factorization

The second method to find GCF for numbers 135 and 270 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 270: 2, 3, 3, 3, 5

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

Now we need to multiply them to find GCF: 3 × 3 × 3 × 5 = 135

GCF Table

Number 1Number 2GCF
120270
1212701
1222702
1232703
1242702
1252705
12627018
1272701
1282702
1292703
13027010
1312701
1322706
1332701
1342702
135270
1362702
1372701
1382706
1392701
14027010
1412703
1422702
1432701
14427018
1452705
1462702
1472703
1482702
1492701

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 270? (The answer is: 135). Select the first number (e.g. '135') and the second number (e.g. '270'). 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

FAQ

What is the Greatest common Divisor of 135 and 270?

GCF of 135 and 270 is 135