What is the Greatest Common Factor of 27508 and 27526?

Greatest common factor (GCF) of 27508 and 27526 is 2.

GCF(27508,27526) = 2

We will now calculate the prime factors of 27508 and 27526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27508 and 27526.

How to find the GCF of 27508 and 27526?

We will first find the prime factorization of 27508 and 27526. After we will calculate the factors of 27508 and 27526 and find the biggest common factor number .

Step-1: Prime Factorization of 27508

Prime factors of 27508 are 2, 13, 23. Prime factorization of 27508 in exponential form is:

27508 = 2² × 13¹ × 23²

Step-2: Prime Factorization of 27526

Prime factors of 27526 are 2, 13763. Prime factorization of 27526 in exponential form is:

27526 = 2¹ × 13763¹

Step-3: Factors of 27508

List of positive integer factors of 27508 that divides 27508 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 529, 598, 1058, 1196, 2116, 6877, 13754

Step-4: Factors of 27526

List of positive integer factors of 27526 that divides 27508 without a remainder.

1, 2, 13763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27508 and 27526. The biggest common factor number is the GCF number.
So the greatest common factor 27508 and 27526 is 2.

Also check out the Least Common Multiple of 27508 and 27526