What is the Greatest Common Factor of 82128 and 82132?

Greatest common factor (GCF) of 82128 and 82132 is 4.

GCF(82128,82132) = 4

We will now calculate the prime factors of 82128 and 82132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82128 and 82132.

How to find the GCF of 82128 and 82132?

We will first find the prime factorization of 82128 and 82132. After we will calculate the factors of 82128 and 82132 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 82132

Prime factors of 82132 are 2, 20533. Prime factorization of 82132 in exponential form is:

82132 = 2² × 20533¹

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 82132

List of positive integer factors of 82132 that divides 82128 without a remainder.

1, 2, 4, 20533, 41066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82128 and 82132. The biggest common factor number is the GCF number.
So the greatest common factor 82128 and 82132 is 4.

Also check out the Least Common Multiple of 82128 and 82132