What is the Greatest Common Factor of 50349 and 50364?

Greatest common factor (GCF) of 50349 and 50364 is 3.

GCF(50349,50364) = 3

We will now calculate the prime factors of 50349 and 50364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50349 and 50364.

How to find the GCF of 50349 and 50364?

We will first find the prime factorization of 50349 and 50364. After we will calculate the factors of 50349 and 50364 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50364

Prime factors of 50364 are 2, 3, 1399. Prime factorization of 50364 in exponential form is:

50364 = 2² × 3² × 1399¹

Step-3: Factors of 50349

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

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

Step-4: Factors of 50364

List of positive integer factors of 50364 that divides 50349 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1399, 2798, 4197, 5596, 8394, 12591, 16788, 25182

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50349 and 50364. The biggest common factor number is the GCF number.
So the greatest common factor 50349 and 50364 is 3.

Also check out the Least Common Multiple of 50349 and 50364