What is the Greatest Common Factor of 15338 and 15348?

Greatest common factor (GCF) of 15338 and 15348 is 2.

GCF(15338,15348) = 2

We will now calculate the prime factors of 15338 and 15348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15338 and 15348.

How to find the GCF of 15338 and 15348?

We will first find the prime factorization of 15338 and 15348. After we will calculate the factors of 15338 and 15348 and find the biggest common factor number .

Step-1: Prime Factorization of 15338

Prime factors of 15338 are 2, 7669. Prime factorization of 15338 in exponential form is:

15338 = 2¹ × 7669¹

Step-2: Prime Factorization of 15348

Prime factors of 15348 are 2, 3, 1279. Prime factorization of 15348 in exponential form is:

15348 = 2² × 3¹ × 1279¹

Step-3: Factors of 15338

List of positive integer factors of 15338 that divides 15338 without a remainder.

1, 2, 7669

Step-4: Factors of 15348

List of positive integer factors of 15348 that divides 15338 without a remainder.

1, 2, 3, 4, 6, 12, 1279, 2558, 3837, 5116, 7674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15338 and 15348. The biggest common factor number is the GCF number.
So the greatest common factor 15338 and 15348 is 2.

Also check out the Least Common Multiple of 15338 and 15348