What is the Greatest Common Factor of 28605 and 28620?

Greatest common factor (GCF) of 28605 and 28620 is 15.

GCF(28605,28620) = 15

We will now calculate the prime factors of 28605 and 28620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28605 and 28620.

How to find the GCF of 28605 and 28620?

We will first find the prime factorization of 28605 and 28620. After we will calculate the factors of 28605 and 28620 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28620

Prime factors of 28620 are 2, 3, 5, 53. Prime factorization of 28620 in exponential form is:

28620 = 2² × 3³ × 5¹ × 53¹

Step-3: Factors of 28605

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

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

Step-4: Factors of 28620

List of positive integer factors of 28620 that divides 28605 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 53, 54, 60, 90, 106, 108, 135, 159, 180, 212, 265, 270, 318, 477, 530, 540, 636, 795, 954, 1060, 1431, 1590, 1908, 2385, 2862, 3180, 4770, 5724, 7155, 9540, 14310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28605 and 28620. The biggest common factor number is the GCF number.
So the greatest common factor 28605 and 28620 is 15.

Also check out the Least Common Multiple of 28605 and 28620