What is the Greatest Common Factor of 82669 and 82688?

Greatest common factor (GCF) of 82669 and 82688 is 19.

GCF(82669,82688) = 19

We will now calculate the prime factors of 82669 and 82688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82669 and 82688.

How to find the GCF of 82669 and 82688?

We will first find the prime factorization of 82669 and 82688. After we will calculate the factors of 82669 and 82688 and find the biggest common factor number .

Step-1: Prime Factorization of 82669

Prime factors of 82669 are 19, 229. Prime factorization of 82669 in exponential form is:

82669 = 19² × 229¹

Step-2: 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-3: Factors of 82669

List of positive integer factors of 82669 that divides 82669 without a remainder.

1, 19, 229, 361, 4351

Step-4: Factors of 82688

List of positive integer factors of 82688 that divides 82669 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82669 and 82688. The biggest common factor number is the GCF number.
So the greatest common factor 82669 and 82688 is 19.

Also check out the Least Common Multiple of 82669 and 82688