What is the Greatest Common Factor of 13026 and 13039?

Greatest common factor (GCF) of 13026 and 13039 is 13.

GCF(13026,13039) = 13

We will now calculate the prime factors of 13026 and 13039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13026 and 13039.

How to find the GCF of 13026 and 13039?

We will first find the prime factorization of 13026 and 13039. After we will calculate the factors of 13026 and 13039 and find the biggest common factor number .

Step-1: Prime Factorization of 13026

Prime factors of 13026 are 2, 3, 13, 167. Prime factorization of 13026 in exponential form is:

13026 = 2¹ × 3¹ × 13¹ × 167¹

Step-2: Prime Factorization of 13039

Prime factors of 13039 are 13, 17, 59. Prime factorization of 13039 in exponential form is:

13039 = 13¹ × 17¹ × 59¹

Step-3: Factors of 13026

List of positive integer factors of 13026 that divides 13026 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 167, 334, 501, 1002, 2171, 4342, 6513

Step-4: Factors of 13039

List of positive integer factors of 13039 that divides 13026 without a remainder.

1, 13, 17, 59, 221, 767, 1003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13026 and 13039. The biggest common factor number is the GCF number.
So the greatest common factor 13026 and 13039 is 13.

Also check out the Least Common Multiple of 13026 and 13039