What is the Greatest Common Factor of 26564 and 26568?

Greatest common factor (GCF) of 26564 and 26568 is 4.

GCF(26564,26568) = 4

We will now calculate the prime factors of 26564 and 26568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26564 and 26568.

How to find the GCF of 26564 and 26568?

We will first find the prime factorization of 26564 and 26568. After we will calculate the factors of 26564 and 26568 and find the biggest common factor number .

Step-1: Prime Factorization of 26564

Prime factors of 26564 are 2, 29, 229. Prime factorization of 26564 in exponential form is:

26564 = 2² × 29¹ × 229¹

Step-2: Prime Factorization of 26568

Prime factors of 26568 are 2, 3, 41. Prime factorization of 26568 in exponential form is:

26568 = 2³ × 3⁴ × 41¹

Step-3: Factors of 26564

List of positive integer factors of 26564 that divides 26564 without a remainder.

1, 2, 4, 29, 58, 116, 229, 458, 916, 6641, 13282

Step-4: Factors of 26568

List of positive integer factors of 26568 that divides 26564 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 41, 54, 72, 81, 82, 108, 123, 162, 164, 216, 246, 324, 328, 369, 492, 648, 738, 984, 1107, 1476, 2214, 2952, 3321, 4428, 6642, 8856, 13284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26564 and 26568. The biggest common factor number is the GCF number.
So the greatest common factor 26564 and 26568 is 4.

Also check out the Least Common Multiple of 26564 and 26568