What is the Greatest Common Factor of 13491 and 13510?

Greatest common factor (GCF) of 13491 and 13510 is 1.

GCF(13491,13510) = 1

We will now calculate the prime factors of 13491 and 13510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13491 and 13510.

How to find the GCF of 13491 and 13510?

We will first find the prime factorization of 13491 and 13510. After we will calculate the factors of 13491 and 13510 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 13510

Prime factors of 13510 are 2, 5, 7, 193. Prime factorization of 13510 in exponential form is:

13510 = 2¹ × 5¹ × 7¹ × 193¹

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 13510

List of positive integer factors of 13510 that divides 13491 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 193, 386, 965, 1351, 1930, 2702, 6755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13491 and 13510. The biggest common factor number is the GCF number.
So the greatest common factor 13491 and 13510 is 1.

Also check out the Least Common Multiple of 13491 and 13510