What is the Greatest Common Factor of 82090 and 82100?

Greatest common factor (GCF) of 82090 and 82100 is 10.

GCF(82090,82100) = 10

We will now calculate the prime factors of 82090 and 82100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82090 and 82100.

How to find the GCF of 82090 and 82100?

We will first find the prime factorization of 82090 and 82100. After we will calculate the factors of 82090 and 82100 and find the biggest common factor number .

Step-1: Prime Factorization of 82090

Prime factors of 82090 are 2, 5, 8209. Prime factorization of 82090 in exponential form is:

82090 = 2¹ × 5¹ × 8209¹

Step-2: 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-3: Factors of 82090

List of positive integer factors of 82090 that divides 82090 without a remainder.

1, 2, 5, 10, 8209, 16418, 41045

Step-4: Factors of 82100

List of positive integer factors of 82100 that divides 82090 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82090 and 82100. The biggest common factor number is the GCF number.
So the greatest common factor 82090 and 82100 is 10.

Also check out the Least Common Multiple of 82090 and 82100