What is the Greatest Common Factor of 82674 and 82688?

Greatest common factor (GCF) of 82674 and 82688 is 2.

GCF(82674,82688) = 2

We will now calculate the prime factors of 82674 and 82688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82674 and 82688.

How to find the GCF of 82674 and 82688?

We will first find the prime factorization of 82674 and 82688. After we will calculate the factors of 82674 and 82688 and find the biggest common factor number .

Step-1: Prime Factorization of 82674

Prime factors of 82674 are 2, 3, 1531. Prime factorization of 82674 in exponential form is:

82674 = 2¹ × 3³ × 1531¹

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 82674

List of positive integer factors of 82674 that divides 82674 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1531, 3062, 4593, 9186, 13779, 27558, 41337

Step-4: Factors of 82688

List of positive integer factors of 82688 that divides 82674 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 82674 and 82688. The biggest common factor number is the GCF number.
So the greatest common factor 82674 and 82688 is 2.

Also check out the Least Common Multiple of 82674 and 82688