What is the Greatest Common Factor of 82100 and 82107?

Greatest common factor (GCF) of 82100 and 82107 is 1.

GCF(82100,82107) = 1

We will now calculate the prime factors of 82100 and 82107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82100 and 82107.

How to find the GCF of 82100 and 82107?

We will first find the prime factorization of 82100 and 82107. After we will calculate the factors of 82100 and 82107 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 82107

Prime factors of 82107 are 3, 3041. Prime factorization of 82107 in exponential form is:

82107 = 3³ × 3041¹

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 82107

List of positive integer factors of 82107 that divides 82100 without a remainder.

1, 3, 9, 27, 3041, 9123, 27369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82100 and 82107. The biggest common factor number is the GCF number.
So the greatest common factor 82100 and 82107 is 1.

Also check out the Least Common Multiple of 82100 and 82107