GCF for 10 and 25

What is the Greatest common Divisor of 10 and 25?

Answer: GCF of 10 and 25 is 5

(Five)

Finding GCF for 10 and 25 using all factors (divisors) listing

The first method to find GCF for numbers 10 and 25 is to list all factors for both numbers and pick the highest common one:

All factors of 10: 1, 2, 5, 10

All factors of 25: 1, 5, 25

So the Greatest Common Factor for 10 and 25 is 5

Finding GCF for 10 and 25 by Prime Factorization

The second method to find GCF for numbers 10 and 25 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 10: 2, 5

All Prime Factors of 25: 5, 5

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 10 and 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 10 and 25? (The answer is: 5). Select the first number (e.g. '10') and the second number (e.g. '25'). 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
1251
2251
3251
425
525
625
725
825
925
1025
11251
1225
1325
1425
1525
1625
1725
1825
1925
2025
2125
2225
23251
2425
252525
26251
27251
28251
29251
30255

FAQ

What is the Greatest common Divisor of 10 and 25?

GCF of 10 and 25 is 5