What is the Greatest Common Factor of 82100 and 82120?

Greatest common factor (GCF) of 82100 and 82120 is 20.

GCF(82100,82120) = 20

We will now calculate the prime factors of 82100 and 82120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82100 and 82120.

How to find the GCF of 82100 and 82120?

We will first find the prime factorization of 82100 and 82120. After we will calculate the factors of 82100 and 82120 and find the biggest common factor number .

Step-1: Prime Factorization of 82100

Prime factors of 82100 are 2, 5, 821. Prime factorization of 82100 in exponential form is:

82100 = 2² × 5² × 821¹

Step-2: Prime Factorization of 82120

Prime factors of 82120 are 2, 5, 2053. Prime factorization of 82120 in exponential form is:

82120 = 2³ × 5¹ × 2053¹

Step-3: Factors of 82100

List of positive integer factors of 82100 that divides 82100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 821, 1642, 3284, 4105, 8210, 16420, 20525, 41050

Step-4: Factors of 82120

List of positive integer factors of 82120 that divides 82100 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2053, 4106, 8212, 10265, 16424, 20530, 41060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82100 and 82120. The biggest common factor number is the GCF number.
So the greatest common factor 82100 and 82120 is 20.

Also check out the Least Common Multiple of 82100 and 82120