What is the Greatest Common Factor of 28675 and 28680?

Greatest common factor (GCF) of 28675 and 28680 is 5.

GCF(28675,28680) = 5

We will now calculate the prime factors of 28675 and 28680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28675 and 28680.

How to find the GCF of 28675 and 28680?

We will first find the prime factorization of 28675 and 28680. After we will calculate the factors of 28675 and 28680 and find the biggest common factor number .

Step-1: Prime Factorization of 28675

Prime factors of 28675 are 5, 31, 37. Prime factorization of 28675 in exponential form is:

28675 = 5² × 31¹ × 37¹

Step-2: Prime Factorization of 28680

Prime factors of 28680 are 2, 3, 5, 239. Prime factorization of 28680 in exponential form is:

28680 = 2³ × 3¹ × 5¹ × 239¹

Step-3: Factors of 28675

List of positive integer factors of 28675 that divides 28675 without a remainder.

1, 5, 25, 31, 37, 155, 185, 775, 925, 1147, 5735

Step-4: Factors of 28680

List of positive integer factors of 28680 that divides 28675 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 239, 478, 717, 956, 1195, 1434, 1912, 2390, 2868, 3585, 4780, 5736, 7170, 9560, 14340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28675 and 28680. The biggest common factor number is the GCF number.
So the greatest common factor 28675 and 28680 is 5.

Also check out the Least Common Multiple of 28675 and 28680