What is the Greatest Common Factor of 50338 and 50346?

Greatest common factor (GCF) of 50338 and 50346 is 2.

GCF(50338,50346) = 2

We will now calculate the prime factors of 50338 and 50346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50338 and 50346.

How to find the GCF of 50338 and 50346?

We will first find the prime factorization of 50338 and 50346. After we will calculate the factors of 50338 and 50346 and find the biggest common factor number .

Step-1: Prime Factorization of 50338

Prime factors of 50338 are 2, 25169. Prime factorization of 50338 in exponential form is:

50338 = 2¹ × 25169¹

Step-2: Prime Factorization of 50346

Prime factors of 50346 are 2, 3, 2797. Prime factorization of 50346 in exponential form is:

50346 = 2¹ × 3² × 2797¹

Step-3: Factors of 50338

List of positive integer factors of 50338 that divides 50338 without a remainder.

1, 2, 25169

Step-4: Factors of 50346

List of positive integer factors of 50346 that divides 50338 without a remainder.

1, 2, 3, 6, 9, 18, 2797, 5594, 8391, 16782, 25173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50338 and 50346. The biggest common factor number is the GCF number.
So the greatest common factor 50338 and 50346 is 2.

Also check out the Least Common Multiple of 50338 and 50346