What is the Greatest Common Factor of 13515 and 13531?

Greatest common factor (GCF) of 13515 and 13531 is 1.

GCF(13515,13531) = 1

We will now calculate the prime factors of 13515 and 13531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13515 and 13531.

How to find the GCF of 13515 and 13531?

We will first find the prime factorization of 13515 and 13531. After we will calculate the factors of 13515 and 13531 and find the biggest common factor number .

Step-1: Prime Factorization of 13515

Prime factors of 13515 are 3, 5, 17, 53. Prime factorization of 13515 in exponential form is:

13515 = 3¹ × 5¹ × 17¹ × 53¹

Step-2: Prime Factorization of 13531

Prime factors of 13531 are 7, 1933. Prime factorization of 13531 in exponential form is:

13531 = 7¹ × 1933¹

Step-3: Factors of 13515

List of positive integer factors of 13515 that divides 13515 without a remainder.

1, 3, 5, 15, 17, 51, 53, 85, 159, 255, 265, 795, 901, 2703, 4505

Step-4: Factors of 13531

List of positive integer factors of 13531 that divides 13515 without a remainder.

1, 7, 1933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13515 and 13531. The biggest common factor number is the GCF number.
So the greatest common factor 13515 and 13531 is 1.

Also check out the Least Common Multiple of 13515 and 13531