GCF for 135 and 162

What is the Greatest common Divisor of 135 and 162?

Answer: GCF of 135 and 162 is 27

(Twenty-seven)

Finding GCF for 135 and 162 using all factors (divisors) listing

The first method to find GCF for numbers 135 and 162 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 162: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

So the Greatest Common Factor for 135 and 162 is 27

Finding GCF for 135 and 162 by Prime Factorization

The second method to find GCF for numbers 135 and 162 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 162: 2, 3, 3, 3, 3

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

Now we need to multiply them to find GCF: 3 × 3 × 3 = 27

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 135 and 162? (The answer is: 27). Select the first number (e.g. '135') and the second number (e.g. '162'). 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

GCF Table

Number 1Number 2GCF
1201626
1211621
1221622
1231623
1241622
1251621
12616218
1271621
1281622
1291623
1301622
1311621
1321626
1331621
1341622
135162
1361622
1371621
1381626
1391621
1401622
1411623
1421622
1431621
14416218
1451621
1461622
1471623
1481622
1491621

FAQ

What is the Greatest common Divisor of 135 and 162?

GCF of 135 and 162 is 27