What is the Greatest Common Factor of 13083 and 13098?

Greatest common factor (GCF) of 13083 and 13098 is 3.

GCF(13083,13098) = 3

We will now calculate the prime factors of 13083 and 13098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13083 and 13098.

How to find the GCF of 13083 and 13098?

We will first find the prime factorization of 13083 and 13098. After we will calculate the factors of 13083 and 13098 and find the biggest common factor number .

Step-1: Prime Factorization of 13083

Prime factors of 13083 are 3, 7, 89. Prime factorization of 13083 in exponential form is:

13083 = 3¹ × 7² × 89¹

Step-2: 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-3: Factors of 13083

List of positive integer factors of 13083 that divides 13083 without a remainder.

1, 3, 7, 21, 49, 89, 147, 267, 623, 1869, 4361

Step-4: Factors of 13098

List of positive integer factors of 13098 that divides 13083 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13083 and 13098. The biggest common factor number is the GCF number.
So the greatest common factor 13083 and 13098 is 3.

Also check out the Least Common Multiple of 13083 and 13098