What is the Greatest Common Factor of 50277 and 50283?

Greatest common factor (GCF) of 50277 and 50283 is 3.

GCF(50277,50283) = 3

We will now calculate the prime factors of 50277 and 50283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50277 and 50283.

How to find the GCF of 50277 and 50283?

We will first find the prime factorization of 50277 and 50283. After we will calculate the factors of 50277 and 50283 and find the biggest common factor number .

Step-1: Prime Factorization of 50277

Prime factors of 50277 are 3, 16759. Prime factorization of 50277 in exponential form is:

50277 = 3¹ × 16759¹

Step-2: Prime Factorization of 50283

Prime factors of 50283 are 3, 37, 151. Prime factorization of 50283 in exponential form is:

50283 = 3² × 37¹ × 151¹

Step-3: Factors of 50277

List of positive integer factors of 50277 that divides 50277 without a remainder.

1, 3, 16759

Step-4: Factors of 50283

List of positive integer factors of 50283 that divides 50277 without a remainder.

1, 3, 9, 37, 111, 151, 333, 453, 1359, 5587, 16761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50277 and 50283. The biggest common factor number is the GCF number.
So the greatest common factor 50277 and 50283 is 3.

Also check out the Least Common Multiple of 50277 and 50283