What is the Greatest Common Factor of 28590 and 28605?

Greatest common factor (GCF) of 28590 and 28605 is 15.

GCF(28590,28605) = 15

We will now calculate the prime factors of 28590 and 28605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28590 and 28605.

How to find the GCF of 28590 and 28605?

We will first find the prime factorization of 28590 and 28605. After we will calculate the factors of 28590 and 28605 and find the biggest common factor number .

Step-1: Prime Factorization of 28590

Prime factors of 28590 are 2, 3, 5, 953. Prime factorization of 28590 in exponential form is:

28590 = 2¹ × 3¹ × 5¹ × 953¹

Step-2: Prime Factorization of 28605

Prime factors of 28605 are 3, 5, 1907. Prime factorization of 28605 in exponential form is:

28605 = 3¹ × 5¹ × 1907¹

Step-3: Factors of 28590

List of positive integer factors of 28590 that divides 28590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 953, 1906, 2859, 4765, 5718, 9530, 14295

Step-4: Factors of 28605

List of positive integer factors of 28605 that divides 28590 without a remainder.

1, 3, 5, 15, 1907, 5721, 9535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28590 and 28605. The biggest common factor number is the GCF number.
So the greatest common factor 28590 and 28605 is 15.

Also check out the Least Common Multiple of 28590 and 28605