What is the Greatest Common Factor of 13237 and 13254?

Greatest common factor (GCF) of 13237 and 13254 is 1.

GCF(13237,13254) = 1

We will now calculate the prime factors of 13237 and 13254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13237 and 13254.

How to find the GCF of 13237 and 13254?

We will first find the prime factorization of 13237 and 13254. After we will calculate the factors of 13237 and 13254 and find the biggest common factor number .

Step-1: Prime Factorization of 13237

Prime factors of 13237 are 7, 31, 61. Prime factorization of 13237 in exponential form is:

13237 = 7¹ × 31¹ × 61¹

Step-2: Prime Factorization of 13254

Prime factors of 13254 are 2, 3, 47. Prime factorization of 13254 in exponential form is:

13254 = 2¹ × 3¹ × 47²

Step-3: Factors of 13237

List of positive integer factors of 13237 that divides 13237 without a remainder.

1, 7, 31, 61, 217, 427, 1891

Step-4: Factors of 13254

List of positive integer factors of 13254 that divides 13237 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 2209, 4418, 6627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13237 and 13254. The biggest common factor number is the GCF number.
So the greatest common factor 13237 and 13254 is 1.

Also check out the Least Common Multiple of 13237 and 13254