GCF for 100 and 565

What is the Greatest Common Factor of 100 and 565?

Answer: GCF of 100 and 565 is 5

(Five)

Finding GCF for 100 and 565 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 565 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 565: 1, 5, 113, 565

So the Greatest Common Factor for 100 and 565 is 5

Finding GCF for 100 and 565 by Prime Factorization

The second method to find GCF for numbers 100 and 565 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 565: 5, 113

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 565

GCF Table

Number 1Number 2GCF
855655
865651
875651
885651
895651
905655
915651
925651
935651
945651
955655
965651
975651
985651
995651
1005655
1015651
1025651
1035651
1045651
1055655
1065651
1075651
1085651
1095651
1105655
1115651
1125651
113565113
1145651

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 100 and 565? (The answer is: 5). Select the first number (e.g. '100') and the second number (e.g. '565'). 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 100 and 565?

GCF of 100 and 565 is 5