What is the Greatest Common Factor of 50922 and 50940?

Greatest common factor (GCF) of 50922 and 50940 is 18.

GCF(50922,50940) = 18

We will now calculate the prime factors of 50922 and 50940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50922 and 50940.

How to find the GCF of 50922 and 50940?

We will first find the prime factorization of 50922 and 50940. After we will calculate the factors of 50922 and 50940 and find the biggest common factor number .

Step-1: Prime Factorization of 50922

Prime factors of 50922 are 2, 3, 23, 41. Prime factorization of 50922 in exponential form is:

50922 = 2¹ × 3³ × 23¹ × 41¹

Step-2: Prime Factorization of 50940

Prime factors of 50940 are 2, 3, 5, 283. Prime factorization of 50940 in exponential form is:

50940 = 2² × 3² × 5¹ × 283¹

Step-3: Factors of 50922

List of positive integer factors of 50922 that divides 50922 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 41, 46, 54, 69, 82, 123, 138, 207, 246, 369, 414, 621, 738, 943, 1107, 1242, 1886, 2214, 2829, 5658, 8487, 16974, 25461

Step-4: Factors of 50940

List of positive integer factors of 50940 that divides 50922 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 283, 566, 849, 1132, 1415, 1698, 2547, 2830, 3396, 4245, 5094, 5660, 8490, 10188, 12735, 16980, 25470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50922 and 50940. The biggest common factor number is the GCF number.
So the greatest common factor 50922 and 50940 is 18.

Also check out the Least Common Multiple of 50922 and 50940