What is the Greatest Common Factor of 82128 and 82137?

Greatest common factor (GCF) of 82128 and 82137 is 3.

GCF(82128,82137) = 3

We will now calculate the prime factors of 82128 and 82137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82128 and 82137.

How to find the GCF of 82128 and 82137?

We will first find the prime factorization of 82128 and 82137. After we will calculate the factors of 82128 and 82137 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82137

Prime factors of 82137 are 3, 11, 19, 131. Prime factorization of 82137 in exponential form is:

82137 = 3¹ × 11¹ × 19¹ × 131¹

Step-3: Factors of 82128

List of positive integer factors of 82128 that divides 82128 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

Step-4: Factors of 82137

List of positive integer factors of 82137 that divides 82128 without a remainder.

1, 3, 11, 19, 33, 57, 131, 209, 393, 627, 1441, 2489, 4323, 7467, 27379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82128 and 82137. The biggest common factor number is the GCF number.
So the greatest common factor 82128 and 82137 is 3.

Also check out the Least Common Multiple of 82128 and 82137