What is the Greatest Common Factor of 50307 and 50316?

Greatest common factor (GCF) of 50307 and 50316 is 3.

GCF(50307,50316) = 3

We will now calculate the prime factors of 50307 and 50316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50307 and 50316.

How to find the GCF of 50307 and 50316?

We will first find the prime factorization of 50307 and 50316. After we will calculate the factors of 50307 and 50316 and find the biggest common factor number .

Step-1: Prime Factorization of 50307

Prime factors of 50307 are 3, 41, 409. Prime factorization of 50307 in exponential form is:

50307 = 3¹ × 41¹ × 409¹

Step-2: Prime Factorization of 50316

Prime factors of 50316 are 2, 3, 7, 599. Prime factorization of 50316 in exponential form is:

50316 = 2² × 3¹ × 7¹ × 599¹

Step-3: Factors of 50307

List of positive integer factors of 50307 that divides 50307 without a remainder.

1, 3, 41, 123, 409, 1227, 16769

Step-4: Factors of 50316

List of positive integer factors of 50316 that divides 50307 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 599, 1198, 1797, 2396, 3594, 4193, 7188, 8386, 12579, 16772, 25158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50307 and 50316. The biggest common factor number is the GCF number.
So the greatest common factor 50307 and 50316 is 3.

Also check out the Least Common Multiple of 50307 and 50316