What is the Greatest Common Factor of 50340 and 50349?

Greatest common factor (GCF) of 50340 and 50349 is 3.

GCF(50340,50349) = 3

We will now calculate the prime factors of 50340 and 50349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50340 and 50349.

How to find the GCF of 50340 and 50349?

We will first find the prime factorization of 50340 and 50349. After we will calculate the factors of 50340 and 50349 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 50349

Prime factors of 50349 are 3, 13, 1291. Prime factorization of 50349 in exponential form is:

50349 = 3¹ × 13¹ × 1291¹

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 50349

List of positive integer factors of 50349 that divides 50340 without a remainder.

1, 3, 13, 39, 1291, 3873, 16783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50340 and 50349. The biggest common factor number is the GCF number.
So the greatest common factor 50340 and 50349 is 3.

Also check out the Least Common Multiple of 50340 and 50349