What is the Greatest Common Factor of 28050 and 28065?

Greatest common factor (GCF) of 28050 and 28065 is 15.

GCF(28050,28065) = 15

We will now calculate the prime factors of 28050 and 28065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28050 and 28065.

How to find the GCF of 28050 and 28065?

We will first find the prime factorization of 28050 and 28065. After we will calculate the factors of 28050 and 28065 and find the biggest common factor number .

Step-1: Prime Factorization of 28050

Prime factors of 28050 are 2, 3, 5, 11, 17. Prime factorization of 28050 in exponential form is:

28050 = 2¹ × 3¹ × 5² × 11¹ × 17¹

Step-2: Prime Factorization of 28065

Prime factors of 28065 are 3, 5, 1871. Prime factorization of 28065 in exponential form is:

28065 = 3¹ × 5¹ × 1871¹

Step-3: Factors of 28050

List of positive integer factors of 28050 that divides 28050 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 25, 30, 33, 34, 50, 51, 55, 66, 75, 85, 102, 110, 150, 165, 170, 187, 255, 275, 330, 374, 425, 510, 550, 561, 825, 850, 935, 1122, 1275, 1650, 1870, 2550, 2805, 4675, 5610, 9350, 14025

Step-4: Factors of 28065

List of positive integer factors of 28065 that divides 28050 without a remainder.

1, 3, 5, 15, 1871, 5613, 9355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28050 and 28065. The biggest common factor number is the GCF number.
So the greatest common factor 28050 and 28065 is 15.

Also check out the Least Common Multiple of 28050 and 28065