What is the Greatest Common Factor of 82120 and 82138?

Greatest common factor (GCF) of 82120 and 82138 is 2.

GCF(82120,82138) = 2

We will now calculate the prime factors of 82120 and 82138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82120 and 82138.

How to find the GCF of 82120 and 82138?

We will first find the prime factorization of 82120 and 82138. After we will calculate the factors of 82120 and 82138 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82138

Prime factors of 82138 are 2, 7, 5867. Prime factorization of 82138 in exponential form is:

82138 = 2¹ × 7¹ × 5867¹

Step-3: Factors of 82120

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

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

Step-4: Factors of 82138

List of positive integer factors of 82138 that divides 82120 without a remainder.

1, 2, 7, 14, 5867, 11734, 41069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82120 and 82138. The biggest common factor number is the GCF number.
So the greatest common factor 82120 and 82138 is 2.

Also check out the Least Common Multiple of 82120 and 82138