What is the Greatest Common Factor of 13238 and 13250?

Greatest common factor (GCF) of 13238 and 13250 is 2.

GCF(13238,13250) = 2

We will now calculate the prime factors of 13238 and 13250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13238 and 13250.

How to find the GCF of 13238 and 13250?

We will first find the prime factorization of 13238 and 13250. After we will calculate the factors of 13238 and 13250 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 13250

Prime factors of 13250 are 2, 5, 53. Prime factorization of 13250 in exponential form is:

13250 = 2¹ × 5³ × 53¹

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 13250

List of positive integer factors of 13250 that divides 13238 without a remainder.

1, 2, 5, 10, 25, 50, 53, 106, 125, 250, 265, 530, 1325, 2650, 6625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13238 and 13250. The biggest common factor number is the GCF number.
So the greatest common factor 13238 and 13250 is 2.

Also check out the Least Common Multiple of 13238 and 13250