What is the Greatest Common Factor of 50340 and 50347?

Greatest common factor (GCF) of 50340 and 50347 is 1.

GCF(50340,50347) = 1

We will now calculate the prime factors of 50340 and 50347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50340 and 50347.

How to find the GCF of 50340 and 50347?

We will first find the prime factorization of 50340 and 50347. After we will calculate the factors of 50340 and 50347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50347

Prime factors of 50347 are 11, 23, 199. Prime factorization of 50347 in exponential form is:

50347 = 11¹ × 23¹ × 199¹

Step-3: Factors of 50340

List of positive integer factors of 50340 that divides 50340 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

Step-4: Factors of 50347

List of positive integer factors of 50347 that divides 50340 without a remainder.

1, 11, 23, 199, 253, 2189, 4577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50340 and 50347. The biggest common factor number is the GCF number.
So the greatest common factor 50340 and 50347 is 1.

Also check out the Least Common Multiple of 50340 and 50347