GCF for 25 and 100

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 25 and 100?

Answer: GCF of 25 and 100 is 25

(Twenty-five)

Finding GCF for 25 and 100 using all factors (divisors) listing

The first method to find GCF for numbers 25 and 100 is to list all factors for both numbers and pick the highest common one:

All factors of 25: 1, 5, 25

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

So the Greatest Common Factor for 25 and 100 is 25

Finding GCF for 25 and 100 by Prime Factorization

The second method to find GCF for numbers 25 and 100 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 25: 5, 5

All Prime Factors of 100: 2, 2, 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 25 and 100? (The answer is: 25). Select the first number (e.g. '25') and the second number (e.g. '100'). 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
1010010
111001
121004
131001
141002
151005
161004
171001
181002
191001
2010020
211001
221002
231001
241004
2510025
261002
271001
281004
291001
3010010
311001
321004
331001
341002
351005
361004
371001
381002
391001

FAQ

What is the Greatest common Divisor of 25 and 100?

GCF of 25 and 100 is 25

See Also