What is the Greatest Common Factor of 13029 and 13047?

Greatest common factor (GCF) of 13029 and 13047 is 3.

GCF(13029,13047) = 3

We will now calculate the prime factors of 13029 and 13047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13029 and 13047.

How to find the GCF of 13029 and 13047?

We will first find the prime factorization of 13029 and 13047. After we will calculate the factors of 13029 and 13047 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 13047

Prime factors of 13047 are 3, 4349. Prime factorization of 13047 in exponential form is:

13047 = 3¹ × 4349¹

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 13047

List of positive integer factors of 13047 that divides 13029 without a remainder.

1, 3, 4349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13029 and 13047. The biggest common factor number is the GCF number.
So the greatest common factor 13029 and 13047 is 3.

Also check out the Least Common Multiple of 13029 and 13047