What is the Greatest Common Factor of 13029 and 13044?

Greatest common factor (GCF) of 13029 and 13044 is 3.

GCF(13029,13044) = 3

We will now calculate the prime factors of 13029 and 13044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13029 and 13044.

How to find the GCF of 13029 and 13044?

We will first find the prime factorization of 13029 and 13044. After we will calculate the factors of 13029 and 13044 and find the biggest common factor number .

Step-1: Prime Factorization of 13029

Prime factors of 13029 are 3, 43, 101. Prime factorization of 13029 in exponential form is:

13029 = 3¹ × 43¹ × 101¹

Step-2: Prime Factorization of 13044

Prime factors of 13044 are 2, 3, 1087. Prime factorization of 13044 in exponential form is:

13044 = 2² × 3¹ × 1087¹

Step-3: Factors of 13029

List of positive integer factors of 13029 that divides 13029 without a remainder.

1, 3, 43, 101, 129, 303, 4343

Step-4: Factors of 13044

List of positive integer factors of 13044 that divides 13029 without a remainder.

1, 2, 3, 4, 6, 12, 1087, 2174, 3261, 4348, 6522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13029 and 13044. The biggest common factor number is the GCF number.
So the greatest common factor 13029 and 13044 is 3.

Also check out the Least Common Multiple of 13029 and 13044