What is the Greatest Common Factor of 27508 and 27516?

Greatest common factor (GCF) of 27508 and 27516 is 4.

GCF(27508,27516) = 4

We will now calculate the prime factors of 27508 and 27516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27508 and 27516.

How to find the GCF of 27508 and 27516?

We will first find the prime factorization of 27508 and 27516. After we will calculate the factors of 27508 and 27516 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 27516

Prime factors of 27516 are 2, 3, 2293. Prime factorization of 27516 in exponential form is:

27516 = 2² × 3¹ × 2293¹

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 27516

List of positive integer factors of 27516 that divides 27508 without a remainder.

1, 2, 3, 4, 6, 12, 2293, 4586, 6879, 9172, 13758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27508 and 27516. The biggest common factor number is the GCF number.
So the greatest common factor 27508 and 27516 is 4.

Also check out the Least Common Multiple of 27508 and 27516