What is the Greatest Common Factor of 50349 and 50358?

Greatest common factor (GCF) of 50349 and 50358 is 3.

GCF(50349,50358) = 3

We will now calculate the prime factors of 50349 and 50358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50349 and 50358.

How to find the GCF of 50349 and 50358?

We will first find the prime factorization of 50349 and 50358. After we will calculate the factors of 50349 and 50358 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 50358

Prime factors of 50358 are 2, 3, 7, 11, 109. Prime factorization of 50358 in exponential form is:

50358 = 2¹ × 3¹ × 7¹ × 11¹ × 109¹

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 50358

List of positive integer factors of 50358 that divides 50349 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 109, 154, 218, 231, 327, 462, 654, 763, 1199, 1526, 2289, 2398, 3597, 4578, 7194, 8393, 16786, 25179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50349 and 50358. The biggest common factor number is the GCF number.
So the greatest common factor 50349 and 50358 is 3.

Also check out the Least Common Multiple of 50349 and 50358