What is the Greatest Common Factor of 13437 and 13452?

Greatest common factor (GCF) of 13437 and 13452 is 3.

GCF(13437,13452) = 3

We will now calculate the prime factors of 13437 and 13452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13437 and 13452.

How to find the GCF of 13437 and 13452?

We will first find the prime factorization of 13437 and 13452. After we will calculate the factors of 13437 and 13452 and find the biggest common factor number .

Step-1: Prime Factorization of 13437

Prime factors of 13437 are 3, 1493. Prime factorization of 13437 in exponential form is:

13437 = 3² × 1493¹

Step-2: Prime Factorization of 13452

Prime factors of 13452 are 2, 3, 19, 59. Prime factorization of 13452 in exponential form is:

13452 = 2² × 3¹ × 19¹ × 59¹

Step-3: Factors of 13437

List of positive integer factors of 13437 that divides 13437 without a remainder.

1, 3, 9, 1493, 4479

Step-4: Factors of 13452

List of positive integer factors of 13452 that divides 13437 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 59, 76, 114, 118, 177, 228, 236, 354, 708, 1121, 2242, 3363, 4484, 6726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13437 and 13452. The biggest common factor number is the GCF number.
So the greatest common factor 13437 and 13452 is 3.

Also check out the Least Common Multiple of 13437 and 13452