GCF for 25 and 125

What is the Greatest common Divisor of 25 and 125?

Answer: GCF of 25 and 125 is 25

(Twenty-five)

Finding GCF for 25 and 125 using all factors (divisors) listing

The first method to find GCF for numbers 25 and 125 is to list all factors for both numbers and pick the highest common one:

All factors of 25: 1, 5, 25

All factors of 125: 1, 5, 25, 125

So the Greatest Common Factor for 25 and 125 is 25

Finding GCF for 25 and 125 by Prime Factorization

The second method to find GCF for numbers 25 and 125 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 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

See Also

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

GCF Table

Number 1Number 2GCF
101255
111251
121251
131251
141251
151255
161251
171251
181251
191251
201255
211251
221251
231251
241251
25125
261251
271251
281251
291251
301255
311251
321251
331251
341251
351255
361251
371251
381251
391251

FAQ

What is the Greatest common Divisor of 25 and 125?

GCF of 25 and 125 is 25