What is the Greatest Common Factor of 28608 and 28626?

Greatest common factor (GCF) of 28608 and 28626 is 6.

GCF(28608,28626) = 6

We will now calculate the prime factors of 28608 and 28626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28608 and 28626.

How to find the GCF of 28608 and 28626?

We will first find the prime factorization of 28608 and 28626. After we will calculate the factors of 28608 and 28626 and find the biggest common factor number .

Step-1: Prime Factorization of 28608

Prime factors of 28608 are 2, 3, 149. Prime factorization of 28608 in exponential form is:

28608 = 2⁶ × 3¹ × 149¹

Step-2: 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-3: Factors of 28608

List of positive integer factors of 28608 that divides 28608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 149, 192, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 4768, 7152, 9536, 14304

Step-4: Factors of 28626

List of positive integer factors of 28626 that divides 28608 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28608 and 28626. The biggest common factor number is the GCF number.
So the greatest common factor 28608 and 28626 is 6.

Also check out the Least Common Multiple of 28608 and 28626