What is the Greatest Common Factor of 13439 and 13452?

Greatest common factor (GCF) of 13439 and 13452 is 1.

GCF(13439,13452) = 1

We will now calculate the prime factors of 13439 and 13452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13439 and 13452.

How to find the GCF of 13439 and 13452?

We will first find the prime factorization of 13439 and 13452. After we will calculate the factors of 13439 and 13452 and find the biggest common factor number .

Step-1: Prime Factorization of 13439

Prime factors of 13439 are 89, 151. Prime factorization of 13439 in exponential form is:

13439 = 89¹ × 151¹

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 13439

List of positive integer factors of 13439 that divides 13439 without a remainder.

1, 89, 151

Step-4: Factors of 13452

List of positive integer factors of 13452 that divides 13439 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 13439 and 13452. The biggest common factor number is the GCF number.
So the greatest common factor 13439 and 13452 is 1.

Also check out the Least Common Multiple of 13439 and 13452