GCF for 100 and 315

What is the Greatest common Divisor of 100 and 315?

Answer: GCF of 100 and 315 is 5

(Five)

Finding GCF for 100 and 315 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 315 is to list all factors for both numbers and pick the highest common one:

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

All factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

So the Greatest Common Factor for 100 and 315 is 5

Finding GCF for 100 and 315 by Prime Factorization

The second method to find GCF for numbers 100 and 315 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 2, 5, 5

All Prime Factors of 315: 3, 3, 5, 7

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 100 and 315

GCF Table

Number 1Number 2GCF
853155
863151
873153
883151
893151
90315
913157
923151
933153
943151
953155
963153
973151
983157
993159
1003155
1013151
1023153
1033151
1043151
105315105
1063151
1073151
108315
1093151
1103155
1113153
1123157
1133151
1143153

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 100 and 315? (The answer is: 5). Select the first number (e.g. '100') and the second number (e.g. '315'). 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 100 and 315?

GCF of 100 and 315 is 5