What is the Greatest Common Factor of 50349 and 50367?

Greatest common factor (GCF) of 50349 and 50367 is 3.

GCF(50349,50367) = 3

We will now calculate the prime factors of 50349 and 50367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50349 and 50367.

How to find the GCF of 50349 and 50367?

We will first find the prime factorization of 50349 and 50367. After we will calculate the factors of 50349 and 50367 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 50367

Prime factors of 50367 are 3, 103, 163. Prime factorization of 50367 in exponential form is:

50367 = 3¹ × 103¹ × 163¹

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 50367

List of positive integer factors of 50367 that divides 50349 without a remainder.

1, 3, 103, 163, 309, 489, 16789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50349 and 50367. The biggest common factor number is the GCF number.
So the greatest common factor 50349 and 50367 is 3.

Also check out the Least Common Multiple of 50349 and 50367