GCF for 50 and 980

What is the Greatest Common Factor of 50 and 980?

Answer: GCF of 50 and 980 is 10

(Ten)

Finding GCF for 50 and 980 using all factors (divisors) listing

The first method to find GCF for numbers 50 and 980 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 980: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

So the Greatest Common Factor for 50 and 980 is 10

Finding GCF for 50 and 980 by Prime Factorization

The second method to find GCF for numbers 50 and 980 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 980: 2, 2, 5, 7, 7

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
3598035
369804
379801
389802
399801
4098020
419801
4298014
439801
449804
459805
469802
479801
489804
4998049
5098010
519801
529804
539801
549802
559805
5698028
579801
589802
599801
6098020
619801
629802
639807
649804

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 Factor of 50 and 980? (The answer is: 10). Select the first number (e.g. '50') and the second number (e.g. '980'). 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 Factor of 50 and 980?

GCF of 50 and 980 is 10