What is the Greatest Common Factor of 13511 and 13516?

Greatest common factor (GCF) of 13511 and 13516 is 1.

GCF(13511,13516) = 1

We will now calculate the prime factors of 13511 and 13516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13511 and 13516.

How to find the GCF of 13511 and 13516?

We will first find the prime factorization of 13511 and 13516. After we will calculate the factors of 13511 and 13516 and find the biggest common factor number .

Step-1: Prime Factorization of 13511

Prime factors of 13511 are 59, 229. Prime factorization of 13511 in exponential form is:

13511 = 59¹ × 229¹

Step-2: 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-3: Factors of 13511

List of positive integer factors of 13511 that divides 13511 without a remainder.

1, 59, 229

Step-4: Factors of 13516

List of positive integer factors of 13516 that divides 13511 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13511 and 13516. The biggest common factor number is the GCF number.
So the greatest common factor 13511 and 13516 is 1.

Also check out the Least Common Multiple of 13511 and 13516