What is the Greatest Common Factor of 26564 and 26578?

Greatest common factor (GCF) of 26564 and 26578 is 2.

GCF(26564,26578) = 2

We will now calculate the prime factors of 26564 and 26578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26564 and 26578.

How to find the GCF of 26564 and 26578?

We will first find the prime factorization of 26564 and 26578. After we will calculate the factors of 26564 and 26578 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 26578

Prime factors of 26578 are 2, 97, 137. Prime factorization of 26578 in exponential form is:

26578 = 2¹ × 97¹ × 137¹

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 26578

List of positive integer factors of 26578 that divides 26564 without a remainder.

1, 2, 97, 137, 194, 274, 13289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26564 and 26578. The biggest common factor number is the GCF number.
So the greatest common factor 26564 and 26578 is 2.

Also check out the Least Common Multiple of 26564 and 26578