GCF for 50 and 225

What is the Greatest common Divisor of 50 and 225?

Answer: GCF of 50 and 225 is 25

(Twenty-five)

Finding GCF for 50 and 225 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 225 is to list all factors for both numbers and pick the highest common one:

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

All factors of 225: 1, 3, 5, 9, 15, 25, 45, 75, 225

So the Greatest Common Factor for 50 and 225 is 25

Finding GCF for 50 and 225 by Prime Factorization

The second method to find GCF for numbers 50 and 225 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 50: 2, 5, 5

All Prime Factors of 225: 3, 3, 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 50 and 225? (The answer is: 25). Select the first number (e.g. '50') and the second number (e.g. '225'). 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
352255
36225
372251
382251
392253
402255
412251
422253
432251
442251
4522545
462251
472251
482253
492251
50225
512253
522251
532251
542259
552255
562251
572253
582251
592251
6022515
612251
622251
632259
642251

FAQ

What is the Greatest common Divisor of 50 and 225?

GCF of 50 and 225 is 25