What is the Greatest Common Factor of 50907 and 50916?

Greatest common factor (GCF) of 50907 and 50916 is 3.

GCF(50907,50916) = 3

We will now calculate the prime factors of 50907 and 50916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50907 and 50916.

How to find the GCF of 50907 and 50916?

We will first find the prime factorization of 50907 and 50916. After we will calculate the factors of 50907 and 50916 and find the biggest common factor number .

Step-1: Prime Factorization of 50907

Prime factors of 50907 are 3, 71, 239. Prime factorization of 50907 in exponential form is:

50907 = 3¹ × 71¹ × 239¹

Step-2: Prime Factorization of 50916

Prime factors of 50916 are 2, 3, 4243. Prime factorization of 50916 in exponential form is:

50916 = 2² × 3¹ × 4243¹

Step-3: Factors of 50907

List of positive integer factors of 50907 that divides 50907 without a remainder.

1, 3, 71, 213, 239, 717, 16969

Step-4: Factors of 50916

List of positive integer factors of 50916 that divides 50907 without a remainder.

1, 2, 3, 4, 6, 12, 4243, 8486, 12729, 16972, 25458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50907 and 50916. The biggest common factor number is the GCF number.
So the greatest common factor 50907 and 50916 is 3.

Also check out the Least Common Multiple of 50907 and 50916