What is the Greatest Common Factor of 50937 and 50946?

Greatest common factor (GCF) of 50937 and 50946 is 3.

GCF(50937,50946) = 3

We will now calculate the prime factors of 50937 and 50946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50937 and 50946.

How to find the GCF of 50937 and 50946?

We will first find the prime factorization of 50937 and 50946. After we will calculate the factors of 50937 and 50946 and find the biggest common factor number .

Step-1: Prime Factorization of 50937

Prime factors of 50937 are 3, 16979. Prime factorization of 50937 in exponential form is:

50937 = 3¹ × 16979¹

Step-2: Prime Factorization of 50946

Prime factors of 50946 are 2, 3, 7, 1213. Prime factorization of 50946 in exponential form is:

50946 = 2¹ × 3¹ × 7¹ × 1213¹

Step-3: Factors of 50937

List of positive integer factors of 50937 that divides 50937 without a remainder.

1, 3, 16979

Step-4: Factors of 50946

List of positive integer factors of 50946 that divides 50937 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1213, 2426, 3639, 7278, 8491, 16982, 25473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50937 and 50946. The biggest common factor number is the GCF number.
So the greatest common factor 50937 and 50946 is 3.

Also check out the Least Common Multiple of 50937 and 50946