What is the Greatest Common Factor of 82688 and 82708?

Greatest common factor (GCF) of 82688 and 82708 is 4.

GCF(82688,82708) = 4

We will now calculate the prime factors of 82688 and 82708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82688 and 82708.

How to find the GCF of 82688 and 82708?

We will first find the prime factorization of 82688 and 82708. After we will calculate the factors of 82688 and 82708 and find the biggest common factor number .

Step-1: Prime Factorization of 82688

Prime factors of 82688 are 2, 17, 19. Prime factorization of 82688 in exponential form is:

82688 = 2⁸ × 17¹ × 19¹

Step-2: Prime Factorization of 82708

Prime factors of 82708 are 2, 23, 29, 31. Prime factorization of 82708 in exponential form is:

82708 = 2² × 23¹ × 29¹ × 31¹

Step-3: Factors of 82688

List of positive integer factors of 82688 that divides 82688 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 128, 136, 152, 256, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2176, 2432, 2584, 4352, 4864, 5168, 10336, 20672, 41344

Step-4: Factors of 82708

List of positive integer factors of 82708 that divides 82688 without a remainder.

1, 2, 4, 23, 29, 31, 46, 58, 62, 92, 116, 124, 667, 713, 899, 1334, 1426, 1798, 2668, 2852, 3596, 20677, 41354

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82688 and 82708. The biggest common factor number is the GCF number.
So the greatest common factor 82688 and 82708 is 4.

Also check out the Least Common Multiple of 82688 and 82708