What is the Greatest Common Factor of 13238 and 13248?

Greatest common factor (GCF) of 13238 and 13248 is 2.

GCF(13238,13248) = 2

We will now calculate the prime factors of 13238 and 13248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13238 and 13248.

How to find the GCF of 13238 and 13248?

We will first find the prime factorization of 13238 and 13248. After we will calculate the factors of 13238 and 13248 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 13248

Prime factors of 13248 are 2, 3, 23. Prime factorization of 13248 in exponential form is:

13248 = 2⁶ × 3² × 23¹

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 13248

List of positive integer factors of 13248 that divides 13238 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 138, 144, 184, 192, 207, 276, 288, 368, 414, 552, 576, 736, 828, 1104, 1472, 1656, 2208, 3312, 4416, 6624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13238 and 13248. The biggest common factor number is the GCF number.
So the greatest common factor 13238 and 13248 is 2.

Also check out the Least Common Multiple of 13238 and 13248