What is the Greatest Common Factor of 13098 and 13113?

Greatest common factor (GCF) of 13098 and 13113 is 3.

GCF(13098,13113) = 3

We will now calculate the prime factors of 13098 and 13113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13098 and 13113.

How to find the GCF of 13098 and 13113?

We will first find the prime factorization of 13098 and 13113. After we will calculate the factors of 13098 and 13113 and find the biggest common factor number .

Step-1: Prime Factorization of 13098

Prime factors of 13098 are 2, 3, 37, 59. Prime factorization of 13098 in exponential form is:

13098 = 2¹ × 3¹ × 37¹ × 59¹

Step-2: Prime Factorization of 13113

Prime factors of 13113 are 3, 31, 47. Prime factorization of 13113 in exponential form is:

13113 = 3² × 31¹ × 47¹

Step-3: Factors of 13098

List of positive integer factors of 13098 that divides 13098 without a remainder.

1, 2, 3, 6, 37, 59, 74, 111, 118, 177, 222, 354, 2183, 4366, 6549

Step-4: Factors of 13113

List of positive integer factors of 13113 that divides 13098 without a remainder.

1, 3, 9, 31, 47, 93, 141, 279, 423, 1457, 4371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13098 and 13113. The biggest common factor number is the GCF number.
So the greatest common factor 13098 and 13113 is 3.

Also check out the Least Common Multiple of 13098 and 13113