What is the Greatest Common Factor of 50322 and 50340?

Greatest common factor (GCF) of 50322 and 50340 is 6.

GCF(50322,50340) = 6

We will now calculate the prime factors of 50322 and 50340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50322 and 50340.

How to find the GCF of 50322 and 50340?

We will first find the prime factorization of 50322 and 50340. After we will calculate the factors of 50322 and 50340 and find the biggest common factor number .

Step-1: Prime Factorization of 50322

Prime factors of 50322 are 2, 3, 8387. Prime factorization of 50322 in exponential form is:

50322 = 2¹ × 3¹ × 8387¹

Step-2: Prime Factorization of 50340

Prime factors of 50340 are 2, 3, 5, 839. Prime factorization of 50340 in exponential form is:

50340 = 2² × 3¹ × 5¹ × 839¹

Step-3: Factors of 50322

List of positive integer factors of 50322 that divides 50322 without a remainder.

1, 2, 3, 6, 8387, 16774, 25161

Step-4: Factors of 50340

List of positive integer factors of 50340 that divides 50322 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 839, 1678, 2517, 3356, 4195, 5034, 8390, 10068, 12585, 16780, 25170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50322 and 50340. The biggest common factor number is the GCF number.
So the greatest common factor 50322 and 50340 is 6.

Also check out the Least Common Multiple of 50322 and 50340