GCF for 50 and 825

What is the Greatest common Divisor of 50 and 825?

Answer: GCF of 50 and 825 is 25

(Twenty-five)

Finding GCF for 50 and 825 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 825 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 825: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

So the Greatest Common Factor for 50 and 825 is 25

Finding GCF for 50 and 825 by Prime Factorization

The second method to find GCF for numbers 50 and 825 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 825: 3, 5, 5, 11

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

Related Calculations

GCF Table

Number 1Number 2GCF
358255
368253
378251
388251
398253
408255
418251
428253
438251
4482511
4582515
468251
478251
488253
498251
5082525
518253
528251
538251
548253
5582555
568251
578253
588251
598251
6082515
618251
628251
638253
648251

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 825? (The answer is: 25). Select the first number (e.g. '50') and the second number (e.g. '825'). 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

FAQ

What is the Greatest common Divisor of 50 and 825?

GCF of 50 and 825 is 25