What is the Greatest Common Factor of 50830 and 50840?

Greatest common factor (GCF) of 50830 and 50840 is 10.

GCF(50830,50840) = 10

We will now calculate the prime factors of 50830 and 50840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50830 and 50840.

How to find the GCF of 50830 and 50840?

We will first find the prime factorization of 50830 and 50840. After we will calculate the factors of 50830 and 50840 and find the biggest common factor number .

Step-1: Prime Factorization of 50830

Prime factors of 50830 are 2, 5, 13, 17, 23. Prime factorization of 50830 in exponential form is:

50830 = 2¹ × 5¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 50840

Prime factors of 50840 are 2, 5, 31, 41. Prime factorization of 50840 in exponential form is:

50840 = 2³ × 5¹ × 31¹ × 41¹

Step-3: Factors of 50830

List of positive integer factors of 50830 that divides 50830 without a remainder.

1, 2, 5, 10, 13, 17, 23, 26, 34, 46, 65, 85, 115, 130, 170, 221, 230, 299, 391, 442, 598, 782, 1105, 1495, 1955, 2210, 2990, 3910, 5083, 10166, 25415

Step-4: Factors of 50840

List of positive integer factors of 50840 that divides 50830 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 41, 62, 82, 124, 155, 164, 205, 248, 310, 328, 410, 620, 820, 1240, 1271, 1640, 2542, 5084, 6355, 10168, 12710, 25420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50830 and 50840. The biggest common factor number is the GCF number.
So the greatest common factor 50830 and 50840 is 10.

Also check out the Least Common Multiple of 50830 and 50840