What is the Greatest Common Factor of 13516 and 13530?

Greatest common factor (GCF) of 13516 and 13530 is 2.

GCF(13516,13530) = 2

We will now calculate the prime factors of 13516 and 13530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13516 and 13530.

How to find the GCF of 13516 and 13530?

We will first find the prime factorization of 13516 and 13530. After we will calculate the factors of 13516 and 13530 and find the biggest common factor number .

Step-1: Prime Factorization of 13516

Prime factors of 13516 are 2, 31, 109. Prime factorization of 13516 in exponential form is:

13516 = 2² × 31¹ × 109¹

Step-2: Prime Factorization of 13530

Prime factors of 13530 are 2, 3, 5, 11, 41. Prime factorization of 13530 in exponential form is:

13530 = 2¹ × 3¹ × 5¹ × 11¹ × 41¹

Step-3: Factors of 13516

List of positive integer factors of 13516 that divides 13516 without a remainder.

1, 2, 4, 31, 62, 109, 124, 218, 436, 3379, 6758

Step-4: Factors of 13530

List of positive integer factors of 13530 that divides 13516 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 41, 55, 66, 82, 110, 123, 165, 205, 246, 330, 410, 451, 615, 902, 1230, 1353, 2255, 2706, 4510, 6765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13516 and 13530. The biggest common factor number is the GCF number.
So the greatest common factor 13516 and 13530 is 2.

Also check out the Least Common Multiple of 13516 and 13530