What is the Greatest Common Factor of 50470 and 50490?

Greatest common factor (GCF) of 50470 and 50490 is 10.

GCF(50470,50490) = 10

We will now calculate the prime factors of 50470 and 50490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50470 and 50490.

How to find the GCF of 50470 and 50490?

We will first find the prime factorization of 50470 and 50490. After we will calculate the factors of 50470 and 50490 and find the biggest common factor number .

Step-1: Prime Factorization of 50470

Prime factors of 50470 are 2, 5, 7, 103. Prime factorization of 50470 in exponential form is:

50470 = 2¹ × 5¹ × 7² × 103¹

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 50470

List of positive integer factors of 50470 that divides 50470 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 103, 206, 245, 490, 515, 721, 1030, 1442, 3605, 5047, 7210, 10094, 25235

Step-4: Factors of 50490

List of positive integer factors of 50490 that divides 50470 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 50470 and 50490. The biggest common factor number is the GCF number.
So the greatest common factor 50470 and 50490 is 10.

Also check out the Least Common Multiple of 50470 and 50490