What is the Greatest Common Factor of 28608 and 28615?

Greatest common factor (GCF) of 28608 and 28615 is 1.

GCF(28608,28615) = 1

We will now calculate the prime factors of 28608 and 28615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28608 and 28615.

How to find the GCF of 28608 and 28615?

We will first find the prime factorization of 28608 and 28615. After we will calculate the factors of 28608 and 28615 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 28615

Prime factors of 28615 are 5, 59, 97. Prime factorization of 28615 in exponential form is:

28615 = 5¹ × 59¹ × 97¹

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 28615

List of positive integer factors of 28615 that divides 28608 without a remainder.

1, 5, 59, 97, 295, 485, 5723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28608 and 28615. The biggest common factor number is the GCF number.
So the greatest common factor 28608 and 28615 is 1.

Also check out the Least Common Multiple of 28608 and 28615