What is the Greatest Common Factor of 26558 and 26564?

Greatest common factor (GCF) of 26558 and 26564 is 2.

GCF(26558,26564) = 2

We will now calculate the prime factors of 26558 and 26564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26558 and 26564.

How to find the GCF of 26558 and 26564?

We will first find the prime factorization of 26558 and 26564. After we will calculate the factors of 26558 and 26564 and find the biggest common factor number .

Step-1: Prime Factorization of 26558

Prime factors of 26558 are 2, 7, 271. Prime factorization of 26558 in exponential form is:

26558 = 2¹ × 7² × 271¹

Step-2: 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-3: Factors of 26558

List of positive integer factors of 26558 that divides 26558 without a remainder.

1, 2, 7, 14, 49, 98, 271, 542, 1897, 3794, 13279

Step-4: Factors of 26564

List of positive integer factors of 26564 that divides 26558 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26558 and 26564. The biggest common factor number is the GCF number.
So the greatest common factor 26558 and 26564 is 2.

Also check out the Least Common Multiple of 26558 and 26564