What is the Greatest Common Factor of 50490 and 50500?

Greatest common factor (GCF) of 50490 and 50500 is 10.

GCF(50490,50500) = 10

We will now calculate the prime factors of 50490 and 50500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50490 and 50500.

How to find the GCF of 50490 and 50500?

We will first find the prime factorization of 50490 and 50500. After we will calculate the factors of 50490 and 50500 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50500

Prime factors of 50500 are 2, 5, 101. Prime factorization of 50500 in exponential form is:

50500 = 2² × 5³ × 101¹

Step-3: Factors of 50490

List of positive integer factors of 50490 that divides 50490 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

Step-4: Factors of 50500

List of positive integer factors of 50500 that divides 50490 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 101, 125, 202, 250, 404, 500, 505, 1010, 2020, 2525, 5050, 10100, 12625, 25250

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50490 and 50500. The biggest common factor number is the GCF number.
So the greatest common factor 50490 and 50500 is 10.

Also check out the Least Common Multiple of 50490 and 50500