What is the Greatest Common Factor of 13268 and 13280?

Greatest common factor (GCF) of 13268 and 13280 is 4.

GCF(13268,13280) = 4

We will now calculate the prime factors of 13268 and 13280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13268 and 13280.

How to find the GCF of 13268 and 13280?

We will first find the prime factorization of 13268 and 13280. After we will calculate the factors of 13268 and 13280 and find the biggest common factor number .

Step-1: Prime Factorization of 13268

Prime factors of 13268 are 2, 31, 107. Prime factorization of 13268 in exponential form is:

13268 = 2² × 31¹ × 107¹

Step-2: Prime Factorization of 13280

Prime factors of 13280 are 2, 5, 83. Prime factorization of 13280 in exponential form is:

13280 = 2⁵ × 5¹ × 83¹

Step-3: Factors of 13268

List of positive integer factors of 13268 that divides 13268 without a remainder.

1, 2, 4, 31, 62, 107, 124, 214, 428, 3317, 6634

Step-4: Factors of 13280

List of positive integer factors of 13280 that divides 13268 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 83, 160, 166, 332, 415, 664, 830, 1328, 1660, 2656, 3320, 6640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13268 and 13280. The biggest common factor number is the GCF number.
So the greatest common factor 13268 and 13280 is 4.

Also check out the Least Common Multiple of 13268 and 13280