What is the Greatest Common Factor of 13494 and 13507?

Greatest common factor (GCF) of 13494 and 13507 is 13.

GCF(13494,13507) = 13

We will now calculate the prime factors of 13494 and 13507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13494 and 13507.

How to find the GCF of 13494 and 13507?

We will first find the prime factorization of 13494 and 13507. After we will calculate the factors of 13494 and 13507 and find the biggest common factor number .

Step-1: Prime Factorization of 13494

Prime factors of 13494 are 2, 3, 13, 173. Prime factorization of 13494 in exponential form is:

13494 = 2¹ × 3¹ × 13¹ × 173¹

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 13494

List of positive integer factors of 13494 that divides 13494 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 173, 346, 519, 1038, 2249, 4498, 6747

Step-4: Factors of 13507

List of positive integer factors of 13507 that divides 13494 without a remainder.

1, 13, 1039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13494 and 13507. The biggest common factor number is the GCF number.
So the greatest common factor 13494 and 13507 is 13.

Also check out the Least Common Multiple of 13494 and 13507