What is the Greatest Common Factor of 28608 and 28628?

Greatest common factor (GCF) of 28608 and 28628 is 4.

GCF(28608,28628) = 4

We will now calculate the prime factors of 28608 and 28628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28608 and 28628.

How to find the GCF of 28608 and 28628?

We will first find the prime factorization of 28608 and 28628. After we will calculate the factors of 28608 and 28628 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 28628

Prime factors of 28628 are 2, 17, 421. Prime factorization of 28628 in exponential form is:

28628 = 2² × 17¹ × 421¹

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 28628

List of positive integer factors of 28628 that divides 28608 without a remainder.

1, 2, 4, 17, 34, 68, 421, 842, 1684, 7157, 14314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28608 and 28628. The biggest common factor number is the GCF number.
So the greatest common factor 28608 and 28628 is 4.

Also check out the Least Common Multiple of 28608 and 28628