GCF for 100 and 125

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 100 and 125?

Answer: GCF of 100 and 125 is 25

(Twenty-five)

Finding GCF for 100 and 125 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 125 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 125: 1, 5, 25, 125

So the Greatest Common Factor for 100 and 125 is 25

Finding GCF for 100 and 125 by Prime Factorization

The second method to find GCF for numbers 100 and 125 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 125: 5, 5, 5

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

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

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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 125? (The answer is: 25). Select the first number (e.g. '100') and the second number (e.g. '125'). 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
851255
861251
871251
881251
891251
901255
911251
921251
931251
941251
951255
961251
971251
981251
991251
10012525
1011251
1021251
1031251
1041251
1051255
1061251
1071251
1081251
1091251
1101255
1111251
1121251
1131251
1141251

FAQ

What is the Greatest common Divisor of 100 and 125?

GCF of 100 and 125 is 25

See Also