What is the Greatest Common Factor of 28050 and 28061?

Greatest common factor (GCF) of 28050 and 28061 is 11.

GCF(28050,28061) = 11

We will now calculate the prime factors of 28050 and 28061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28050 and 28061.

How to find the GCF of 28050 and 28061?

We will first find the prime factorization of 28050 and 28061. After we will calculate the factors of 28050 and 28061 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 28061

Prime factors of 28061 are 11, 2551. Prime factorization of 28061 in exponential form is:

28061 = 11¹ × 2551¹

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 28061

List of positive integer factors of 28061 that divides 28050 without a remainder.

1, 11, 2551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28050 and 28061. The biggest common factor number is the GCF number.
So the greatest common factor 28050 and 28061 is 11.

Also check out the Least Common Multiple of 28050 and 28061