GCF for 100 and 175

What is the Greatest Common Factor of 100 and 175?

Answer: GCF of 100 and 175 is 25

(Twenty-five)

Finding GCF for 100 and 175 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 175 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 175: 1, 5, 7, 25, 35, 175

So the Greatest Common Factor for 100 and 175 is 25

Finding GCF for 100 and 175 by Prime Factorization

The second method to find GCF for numbers 100 and 175 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 175: 5, 5, 7

As we can see there are Prime Factors common to both numbers: 5, 5

Now we need to multiply them to find GCF: 5 Γ— 5 = 25

GCF Table

Number 1Number 2GCF
851755
861751
871751
881751
891751
901755
911757
921751
931751
941751
951755
961751
971751
981757
991751
100175
1011751
1021751
1031751
1041751
10517535
1061751
1071751
1081751
1091751
1101755
1111751
1121757
1131751
1141751

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 175? (The answer is: 25). Select the first number (e.g. '100') and the second number (e.g. '175'). 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 175?

GCF of 100 and 175 is 25