What is the Greatest Common Factor of 82120 and 82128?

Greatest common factor (GCF) of 82120 and 82128 is 8.

GCF(82120,82128) = 8

We will now calculate the prime factors of 82120 and 82128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82120 and 82128.

How to find the GCF of 82120 and 82128?

We will first find the prime factorization of 82120 and 82128. After we will calculate the factors of 82120 and 82128 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 82128

Prime factors of 82128 are 2, 3, 29, 59. Prime factorization of 82128 in exponential form is:

82128 = 2⁴ × 3¹ × 29¹ × 59¹

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 82128

List of positive integer factors of 82128 that divides 82120 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 59, 87, 116, 118, 174, 177, 232, 236, 348, 354, 464, 472, 696, 708, 944, 1392, 1416, 1711, 2832, 3422, 5133, 6844, 10266, 13688, 20532, 27376, 41064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82120 and 82128. The biggest common factor number is the GCF number.
So the greatest common factor 82120 and 82128 is 8.

Also check out the Least Common Multiple of 82120 and 82128