What is the Greatest Common Factor of 28033 and 28050?

Greatest common factor (GCF) of 28033 and 28050 is 17.

GCF(28033,28050) = 17

We will now calculate the prime factors of 28033 and 28050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28033 and 28050.

How to find the GCF of 28033 and 28050?

We will first find the prime factorization of 28033 and 28050. After we will calculate the factors of 28033 and 28050 and find the biggest common factor number .

Step-1: Prime Factorization of 28033

Prime factors of 28033 are 17, 97. Prime factorization of 28033 in exponential form is:

28033 = 17² × 97¹

Step-2: 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-3: Factors of 28033

List of positive integer factors of 28033 that divides 28033 without a remainder.

1, 17, 97, 289, 1649

Step-4: Factors of 28050

List of positive integer factors of 28050 that divides 28033 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28033 and 28050. The biggest common factor number is the GCF number.
So the greatest common factor 28033 and 28050 is 17.

Also check out the Least Common Multiple of 28033 and 28050