What is the Greatest Common Factor of 13491 and 13507?

Greatest common factor (GCF) of 13491 and 13507 is 1.

GCF(13491,13507) = 1

We will now calculate the prime factors of 13491 and 13507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13491 and 13507.

How to find the GCF of 13491 and 13507?

We will first find the prime factorization of 13491 and 13507. After we will calculate the factors of 13491 and 13507 and find the biggest common factor number .

Step-1: Prime Factorization of 13491

Prime factors of 13491 are 3, 1499. Prime factorization of 13491 in exponential form is:

13491 = 3² × 1499¹

Step-2: Prime Factorization of 13507

Prime factors of 13507 are 13, 1039. Prime factorization of 13507 in exponential form is:

13507 = 13¹ × 1039¹

Step-3: Factors of 13491

List of positive integer factors of 13491 that divides 13491 without a remainder.

1, 3, 9, 1499, 4497

Step-4: Factors of 13507

List of positive integer factors of 13507 that divides 13491 without a remainder.

1, 13, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13491 and 13507. The biggest common factor number is the GCF number.
So the greatest common factor 13491 and 13507 is 1.

Also check out the Least Common Multiple of 13491 and 13507