What is the Greatest Common Factor of 50830 and 50847?

Greatest common factor (GCF) of 50830 and 50847 is 17.

GCF(50830,50847) = 17

We will now calculate the prime factors of 50830 and 50847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50830 and 50847.

How to find the GCF of 50830 and 50847?

We will first find the prime factorization of 50830 and 50847. After we will calculate the factors of 50830 and 50847 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 50847

Prime factors of 50847 are 3, 17, 997. Prime factorization of 50847 in exponential form is:

50847 = 3¹ × 17¹ × 997¹

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 50847

List of positive integer factors of 50847 that divides 50830 without a remainder.

1, 3, 17, 51, 997, 2991, 16949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50830 and 50847. The biggest common factor number is the GCF number.
So the greatest common factor 50830 and 50847 is 17.

Also check out the Least Common Multiple of 50830 and 50847