What is the Greatest Common Factor of 82100 and 82109?

Greatest common factor (GCF) of 82100 and 82109 is 1.

GCF(82100,82109) = 1

We will now calculate the prime factors of 82100 and 82109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82100 and 82109.

How to find the GCF of 82100 and 82109?

We will first find the prime factorization of 82100 and 82109. After we will calculate the factors of 82100 and 82109 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 82109

Prime factors of 82109 are 47, 1747. Prime factorization of 82109 in exponential form is:

82109 = 47¹ × 1747¹

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 82109

List of positive integer factors of 82109 that divides 82100 without a remainder.

1, 47, 1747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82100 and 82109. The biggest common factor number is the GCF number.
So the greatest common factor 82100 and 82109 is 1.

Also check out the Least Common Multiple of 82100 and 82109