GCF for 100 and 980

What is the Greatest common Divisor of 100 and 980?

Answer: GCF of 100 and 980 is 20

(Twenty)

Finding GCF for 100 and 980 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 980 is to list all factors for both numbers and pick the highest common one:

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

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 100 and 980 is 20

Finding GCF for 100 and 980 by Prime Factorization

The second method to find GCF for numbers 100 and 980 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 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, 2, 5

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
859805
869802
879801
889804
899801
9098010
919807
929804
939801
949802
959805
969804
979801
9898098
999801
10098020
1019801
1029802
1039801
1049804
10598035
1069802
1079801
1089804
1099801
11098010
1119801
11298028
1139801
1149802

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 100 and 980? (The answer is: 20). Select the first number (e.g. '100') 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 Divisor of 100 and 980?

GCF of 100 and 980 is 20