What is the Greatest Common Factor of 28608 and 28624?

Greatest common factor (GCF) of 28608 and 28624 is 16.

GCF(28608,28624) = 16

We will now calculate the prime factors of 28608 and 28624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28608 and 28624.

How to find the GCF of 28608 and 28624?

We will first find the prime factorization of 28608 and 28624. After we will calculate the factors of 28608 and 28624 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 28624

Prime factors of 28624 are 2, 1789. Prime factorization of 28624 in exponential form is:

28624 = 2⁴ × 1789¹

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 28624

List of positive integer factors of 28624 that divides 28608 without a remainder.

1, 2, 4, 8, 16, 1789, 3578, 7156, 14312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28608 and 28624. The biggest common factor number is the GCF number.
So the greatest common factor 28608 and 28624 is 16.

Also check out the Least Common Multiple of 28608 and 28624