What is the Greatest Common Factor of 13274 and 13280?

Greatest common factor (GCF) of 13274 and 13280 is 2.

GCF(13274,13280) = 2

We will now calculate the prime factors of 13274 and 13280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13274 and 13280.

How to find the GCF of 13274 and 13280?

We will first find the prime factorization of 13274 and 13280. After we will calculate the factors of 13274 and 13280 and find the biggest common factor number .

Step-1: Prime Factorization of 13274

Prime factors of 13274 are 2, 6637. Prime factorization of 13274 in exponential form is:

13274 = 2¹ × 6637¹

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 13274

List of positive integer factors of 13274 that divides 13274 without a remainder.

1, 2, 6637

Step-4: Factors of 13280

List of positive integer factors of 13280 that divides 13274 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 13274 and 13280. The biggest common factor number is the GCF number.
So the greatest common factor 13274 and 13280 is 2.

Also check out the Least Common Multiple of 13274 and 13280