What is the Greatest Common Factor of 13149 and 13164?

Greatest common factor (GCF) of 13149 and 13164 is 3.

GCF(13149,13164) = 3

We will now calculate the prime factors of 13149 and 13164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13149 and 13164.

How to find the GCF of 13149 and 13164?

We will first find the prime factorization of 13149 and 13164. After we will calculate the factors of 13149 and 13164 and find the biggest common factor number .

Step-1: Prime Factorization of 13149

Prime factors of 13149 are 3, 487. Prime factorization of 13149 in exponential form is:

13149 = 3³ × 487¹

Step-2: Prime Factorization of 13164

Prime factors of 13164 are 2, 3, 1097. Prime factorization of 13164 in exponential form is:

13164 = 2² × 3¹ × 1097¹

Step-3: Factors of 13149

List of positive integer factors of 13149 that divides 13149 without a remainder.

1, 3, 9, 27, 487, 1461, 4383

Step-4: Factors of 13164

List of positive integer factors of 13164 that divides 13149 without a remainder.

1, 2, 3, 4, 6, 12, 1097, 2194, 3291, 4388, 6582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13149 and 13164. The biggest common factor number is the GCF number.
So the greatest common factor 13149 and 13164 is 3.

Also check out the Least Common Multiple of 13149 and 13164