What is the Greatest Common Factor of 50475 and 50490?

Greatest common factor (GCF) of 50475 and 50490 is 15.

GCF(50475,50490) = 15

We will now calculate the prime factors of 50475 and 50490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50475 and 50490.

How to find the GCF of 50475 and 50490?

We will first find the prime factorization of 50475 and 50490. After we will calculate the factors of 50475 and 50490 and find the biggest common factor number .

Step-1: Prime Factorization of 50475

Prime factors of 50475 are 3, 5, 673. Prime factorization of 50475 in exponential form is:

50475 = 3¹ × 5² × 673¹

Step-2: Prime Factorization of 50490

Prime factors of 50490 are 2, 3, 5, 11, 17. Prime factorization of 50490 in exponential form is:

50490 = 2¹ × 3³ × 5¹ × 11¹ × 17¹

Step-3: Factors of 50475

List of positive integer factors of 50475 that divides 50475 without a remainder.

1, 3, 5, 15, 25, 75, 673, 2019, 3365, 10095, 16825

Step-4: Factors of 50490

List of positive integer factors of 50490 that divides 50475 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 17, 18, 22, 27, 30, 33, 34, 45, 51, 54, 55, 66, 85, 90, 99, 102, 110, 135, 153, 165, 170, 187, 198, 255, 270, 297, 306, 330, 374, 459, 495, 510, 561, 594, 765, 918, 935, 990, 1122, 1485, 1530, 1683, 1870, 2295, 2805, 2970, 3366, 4590, 5049, 5610, 8415, 10098, 16830, 25245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50475 and 50490. The biggest common factor number is the GCF number.
So the greatest common factor 50475 and 50490 is 15.

Also check out the Least Common Multiple of 50475 and 50490