What is the Greatest Common Factor of 28626 and 28639?

Greatest common factor (GCF) of 28626 and 28639 is 13.

GCF(28626,28639) = 13

We will now calculate the prime factors of 28626 and 28639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28626 and 28639.

How to find the GCF of 28626 and 28639?

We will first find the prime factorization of 28626 and 28639. After we will calculate the factors of 28626 and 28639 and find the biggest common factor number .

Step-1: Prime Factorization of 28626

Prime factors of 28626 are 2, 3, 13, 367. Prime factorization of 28626 in exponential form is:

28626 = 2¹ × 3¹ × 13¹ × 367¹

Step-2: Prime Factorization of 28639

Prime factors of 28639 are 13, 2203. Prime factorization of 28639 in exponential form is:

28639 = 13¹ × 2203¹

Step-3: Factors of 28626

List of positive integer factors of 28626 that divides 28626 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 367, 734, 1101, 2202, 4771, 9542, 14313

Step-4: Factors of 28639

List of positive integer factors of 28639 that divides 28626 without a remainder.

1, 13, 2203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28626 and 28639. The biggest common factor number is the GCF number.
So the greatest common factor 28626 and 28639 is 13.

Also check out the Least Common Multiple of 28626 and 28639