GCF for 25 and 50

What is the Greatest common Divisor of 25 and 50?

Answer: GCF of 25 and 50 is 25

(Twenty-five)

Finding GCF for 25 and 50 using all factors (divisors) listing

The first method to find GCF for numbers 25 and 50 is to list all factors for both numbers and pick the highest common one:

All factors of 25: 1, 5, 25

All factors of 50: 1, 2, 5, 10, 25, 50

So the Greatest Common Factor for 25 and 50 is 25

Finding GCF for 25 and 50 by Prime Factorization

The second method to find GCF for numbers 25 and 50 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 50: 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

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 50? (The answer is: 25). Select the first number (e.g. '25') and the second number (e.g. '50'). 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
1050
11501
1250
13501
1450
1550
1650
17501
1850
19501
2050
2150
22502
23501
2450
2550
26502
27501
2850
29501
3050
31501
3250
33501
34502
3550
3650
37501
38502
39501

FAQ

What is the Greatest common Divisor of 25 and 50?

GCF of 25 and 50 is 25