What is the Greatest Common Factor of 82120 and 82140?

Greatest common factor (GCF) of 82120 and 82140 is 20.

GCF(82120,82140) = 20

We will now calculate the prime factors of 82120 and 82140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82120 and 82140.

How to find the GCF of 82120 and 82140?

We will first find the prime factorization of 82120 and 82140. After we will calculate the factors of 82120 and 82140 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 82140

Prime factors of 82140 are 2, 3, 5, 37. Prime factorization of 82140 in exponential form is:

82140 = 2² × 3¹ × 5¹ × 37²

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 82140

List of positive integer factors of 82140 that divides 82120 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 1369, 2220, 2738, 4107, 5476, 6845, 8214, 13690, 16428, 20535, 27380, 41070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82120 and 82140. The biggest common factor number is the GCF number.
So the greatest common factor 82120 and 82140 is 20.

Also check out the Least Common Multiple of 82120 and 82140