What is the Greatest Common Factor of 50355 and 50361?

Greatest common factor (GCF) of 50355 and 50361 is 3.

GCF(50355,50361) = 3

We will now calculate the prime factors of 50355 and 50361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50355 and 50361.

How to find the GCF of 50355 and 50361?

We will first find the prime factorization of 50355 and 50361. After we will calculate the factors of 50355 and 50361 and find the biggest common factor number .

Step-1: Prime Factorization of 50355

Prime factors of 50355 are 3, 5, 373. Prime factorization of 50355 in exponential form is:

50355 = 3³ × 5¹ × 373¹

Step-2: Prime Factorization of 50361

Prime factors of 50361 are 3, 16787. Prime factorization of 50361 in exponential form is:

50361 = 3¹ × 16787¹

Step-3: Factors of 50355

List of positive integer factors of 50355 that divides 50355 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 373, 1119, 1865, 3357, 5595, 10071, 16785

Step-4: Factors of 50361

List of positive integer factors of 50361 that divides 50355 without a remainder.

1, 3, 16787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50355 and 50361. The biggest common factor number is the GCF number.
So the greatest common factor 50355 and 50361 is 3.

Also check out the Least Common Multiple of 50355 and 50361