What is the Greatest Common Factor of 13292 and 13298?

Greatest common factor (GCF) of 13292 and 13298 is 2.

GCF(13292,13298) = 2

We will now calculate the prime factors of 13292 and 13298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13292 and 13298.

How to find the GCF of 13292 and 13298?

We will first find the prime factorization of 13292 and 13298. After we will calculate the factors of 13292 and 13298 and find the biggest common factor number .

Step-1: Prime Factorization of 13292

Prime factors of 13292 are 2, 3323. Prime factorization of 13292 in exponential form is:

13292 = 2² × 3323¹

Step-2: Prime Factorization of 13298

Prime factors of 13298 are 2, 61, 109. Prime factorization of 13298 in exponential form is:

13298 = 2¹ × 61¹ × 109¹

Step-3: Factors of 13292

List of positive integer factors of 13292 that divides 13292 without a remainder.

1, 2, 4, 3323, 6646

Step-4: Factors of 13298

List of positive integer factors of 13298 that divides 13292 without a remainder.

1, 2, 61, 109, 122, 218, 6649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13292 and 13298. The biggest common factor number is the GCF number.
So the greatest common factor 13292 and 13298 is 2.

Also check out the Least Common Multiple of 13292 and 13298