What is the Greatest Common Factor of 50145 and 50165?

Greatest common factor (GCF) of 50145 and 50165 is 5.

GCF(50145,50165) = 5

We will now calculate the prime factors of 50145 and 50165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50145 and 50165.

How to find the GCF of 50145 and 50165?

We will first find the prime factorization of 50145 and 50165. After we will calculate the factors of 50145 and 50165 and find the biggest common factor number .

Step-1: Prime Factorization of 50145

Prime factors of 50145 are 3, 5, 3343. Prime factorization of 50145 in exponential form is:

50145 = 3¹ × 5¹ × 3343¹

Step-2: Prime Factorization of 50165

Prime factors of 50165 are 5, 79, 127. Prime factorization of 50165 in exponential form is:

50165 = 5¹ × 79¹ × 127¹

Step-3: Factors of 50145

List of positive integer factors of 50145 that divides 50145 without a remainder.

1, 3, 5, 15, 3343, 10029, 16715

Step-4: Factors of 50165

List of positive integer factors of 50165 that divides 50145 without a remainder.

1, 5, 79, 127, 395, 635, 10033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50145 and 50165. The biggest common factor number is the GCF number.
So the greatest common factor 50145 and 50165 is 5.

Also check out the Least Common Multiple of 50145 and 50165