GCF for 100 and 165

What is the Greatest common Divisor of 100 and 165?

Answer: GCF of 100 and 165 is 5

(Five)

Finding GCF for 100 and 165 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 165 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 165: 1, 3, 5, 11, 15, 33, 55, 165

So the Greatest Common Factor for 100 and 165 is 5

Finding GCF for 100 and 165 by Prime Factorization

The second method to find GCF for numbers 100 and 165 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 165: 3, 5, 11

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 165

GCF Table

Number 1Number 2GCF
851655
861651
871653
8816511
891651
90165
911651
921651
931653
941651
951655
961653
971651
981651
9916533
100165
1011651
1021653
1031651
1041651
10516515
1061651
1071651
1081653
1091651
11016555
1111653
1121651
1131651
1141653

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 165? (The answer is: 5). Select the first number (e.g. '100') and the second number (e.g. '165'). 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 165?

GCF of 100 and 165 is 5