What is the Greatest Common Factor of 13107 and 13124?

Greatest common factor (GCF) of 13107 and 13124 is 17.

GCF(13107,13124) = 17

We will now calculate the prime factors of 13107 and 13124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13107 and 13124.

How to find the GCF of 13107 and 13124?

We will first find the prime factorization of 13107 and 13124. After we will calculate the factors of 13107 and 13124 and find the biggest common factor number .

Step-1: Prime Factorization of 13107

Prime factors of 13107 are 3, 17, 257. Prime factorization of 13107 in exponential form is:

13107 = 3¹ × 17¹ × 257¹

Step-2: Prime Factorization of 13124

Prime factors of 13124 are 2, 17, 193. Prime factorization of 13124 in exponential form is:

13124 = 2² × 17¹ × 193¹

Step-3: Factors of 13107

List of positive integer factors of 13107 that divides 13107 without a remainder.

1, 3, 17, 51, 257, 771, 4369

Step-4: Factors of 13124

List of positive integer factors of 13124 that divides 13107 without a remainder.

1, 2, 4, 17, 34, 68, 193, 386, 772, 3281, 6562

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13107 and 13124. The biggest common factor number is the GCF number.
So the greatest common factor 13107 and 13124 is 17.

Also check out the Least Common Multiple of 13107 and 13124