What is the Greatest Common Factor of 28626 and 28635?

Greatest common factor (GCF) of 28626 and 28635 is 3.

GCF(28626,28635) = 3

We will now calculate the prime factors of 28626 and 28635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28626 and 28635.

How to find the GCF of 28626 and 28635?

We will first find the prime factorization of 28626 and 28635. After we will calculate the factors of 28626 and 28635 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 28635

Prime factors of 28635 are 3, 5, 23, 83. Prime factorization of 28635 in exponential form is:

28635 = 3¹ × 5¹ × 23¹ × 83¹

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 28635

List of positive integer factors of 28635 that divides 28626 without a remainder.

1, 3, 5, 15, 23, 69, 83, 115, 249, 345, 415, 1245, 1909, 5727, 9545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28626 and 28635. The biggest common factor number is the GCF number.
So the greatest common factor 28626 and 28635 is 3.

Also check out the Least Common Multiple of 28626 and 28635