What is the Greatest Common Factor of 50941 and 50952?

Greatest common factor (GCF) of 50941 and 50952 is 11.

GCF(50941,50952) = 11

We will now calculate the prime factors of 50941 and 50952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50941 and 50952.

How to find the GCF of 50941 and 50952?

We will first find the prime factorization of 50941 and 50952. After we will calculate the factors of 50941 and 50952 and find the biggest common factor number .

Step-1: Prime Factorization of 50941

Prime factors of 50941 are 11, 421. Prime factorization of 50941 in exponential form is:

50941 = 11² × 421¹

Step-2: Prime Factorization of 50952

Prime factors of 50952 are 2, 3, 11, 193. Prime factorization of 50952 in exponential form is:

50952 = 2³ × 3¹ × 11¹ × 193¹

Step-3: Factors of 50941

List of positive integer factors of 50941 that divides 50941 without a remainder.

1, 11, 121, 421, 4631

Step-4: Factors of 50952

List of positive integer factors of 50952 that divides 50941 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 193, 264, 386, 579, 772, 1158, 1544, 2123, 2316, 4246, 4632, 6369, 8492, 12738, 16984, 25476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50941 and 50952. The biggest common factor number is the GCF number.
So the greatest common factor 50941 and 50952 is 11.

Also check out the Least Common Multiple of 50941 and 50952