GCF for 135 and 100

What is the Greatest Common Factor of 135 and 100?

Answer: GCF of 135 and 100 is 5

(Five)

Finding GCF for 135 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 135 and 100 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 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

So the Greatest Common Factor for 135 and 100 is 5

Finding GCF for 135 and 100 by Prime Factorization

The second method to find GCF for numbers 135 and 100 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 100: 2, 2, 5, 5

As we can see there is only one Prime Factor common to both numbers. It is 5

So 5 is the Greatest Common Factor of 135 and 100

GCF Table

Number 1Number 2GCF
12010020
1211001
1221002
1231001
1241004
12510025
1261002
1271001
1281004
1291001
13010010
1311001
1321004
1331001
1341002
1351005
1361004
1371001
1381002
1391001
14010020
1411001
1421002
1431001
1441004
1451005
1461002
1471001
1481004
1491001

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 Factor of 135 and 100? (The answer is: 5). Select the first number (e.g. '135') and the second number (e.g. '100'). 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 Factor of 135 and 100?

GCF of 135 and 100 is 5