What is the Greatest Common Factor of 13250 and 13256?

Greatest common factor (GCF) of 13250 and 13256 is 2.

GCF(13250,13256) = 2

We will now calculate the prime factors of 13250 and 13256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13250 and 13256.

How to find the GCF of 13250 and 13256?

We will first find the prime factorization of 13250 and 13256. After we will calculate the factors of 13250 and 13256 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13256

Prime factors of 13256 are 2, 1657. Prime factorization of 13256 in exponential form is:

13256 = 2³ × 1657¹

Step-3: Factors of 13250

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

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

Step-4: Factors of 13256

List of positive integer factors of 13256 that divides 13250 without a remainder.

1, 2, 4, 8, 1657, 3314, 6628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13250 and 13256. The biggest common factor number is the GCF number.
So the greatest common factor 13250 and 13256 is 2.

Also check out the Least Common Multiple of 13250 and 13256