What is the Greatest Common Factor of 13014 and 13029?

Greatest common factor (GCF) of 13014 and 13029 is 3.

GCF(13014,13029) = 3

We will now calculate the prime factors of 13014 and 13029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13014 and 13029.

How to find the GCF of 13014 and 13029?

We will first find the prime factorization of 13014 and 13029. After we will calculate the factors of 13014 and 13029 and find the biggest common factor number .

Step-1: Prime Factorization of 13014

Prime factors of 13014 are 2, 3, 241. Prime factorization of 13014 in exponential form is:

13014 = 2¹ × 3³ × 241¹

Step-2: 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-3: Factors of 13014

List of positive integer factors of 13014 that divides 13014 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 241, 482, 723, 1446, 2169, 4338, 6507

Step-4: Factors of 13029

List of positive integer factors of 13029 that divides 13014 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13014 and 13029. The biggest common factor number is the GCF number.
So the greatest common factor 13014 and 13029 is 3.

Also check out the Least Common Multiple of 13014 and 13029