What is the Greatest Common Factor of 27508 and 27522?

Greatest common factor (GCF) of 27508 and 27522 is 2.

GCF(27508,27522) = 2

We will now calculate the prime factors of 27508 and 27522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27508 and 27522.

How to find the GCF of 27508 and 27522?

We will first find the prime factorization of 27508 and 27522. After we will calculate the factors of 27508 and 27522 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 27522

Prime factors of 27522 are 2, 3, 11, 139. Prime factorization of 27522 in exponential form is:

27522 = 2¹ × 3² × 11¹ × 139¹

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 27522

List of positive integer factors of 27522 that divides 27508 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 139, 198, 278, 417, 834, 1251, 1529, 2502, 3058, 4587, 9174, 13761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27508 and 27522. The biggest common factor number is the GCF number.
So the greatest common factor 27508 and 27522 is 2.

Also check out the Least Common Multiple of 27508 and 27522