What is the Greatest Common Factor of 13238 and 13254?

Greatest common factor (GCF) of 13238 and 13254 is 2.

GCF(13238,13254) = 2

We will now calculate the prime factors of 13238 and 13254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13238 and 13254.

How to find the GCF of 13238 and 13254?

We will first find the prime factorization of 13238 and 13254. After we will calculate the factors of 13238 and 13254 and find the biggest common factor number .

Step-1: Prime Factorization of 13238

Prime factors of 13238 are 2, 6619. Prime factorization of 13238 in exponential form is:

13238 = 2¹ × 6619¹

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 13238

List of positive integer factors of 13238 that divides 13238 without a remainder.

1, 2, 6619

Step-4: Factors of 13254

List of positive integer factors of 13254 that divides 13238 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 13238 and 13254. The biggest common factor number is the GCF number.
So the greatest common factor 13238 and 13254 is 2.

Also check out the Least Common Multiple of 13238 and 13254