What is the Greatest Common Factor of 28050 and 28059?

Greatest common factor (GCF) of 28050 and 28059 is 3.

GCF(28050,28059) = 3

We will now calculate the prime factors of 28050 and 28059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28050 and 28059.

How to find the GCF of 28050 and 28059?

We will first find the prime factorization of 28050 and 28059. After we will calculate the factors of 28050 and 28059 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 28059

Prime factors of 28059 are 3, 47, 199. Prime factorization of 28059 in exponential form is:

28059 = 3¹ × 47¹ × 199¹

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 28059

List of positive integer factors of 28059 that divides 28050 without a remainder.

1, 3, 47, 141, 199, 597, 9353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28050 and 28059. The biggest common factor number is the GCF number.
So the greatest common factor 28050 and 28059 is 3.

Also check out the Least Common Multiple of 28050 and 28059