What is the Greatest Common Factor of 50922 and 50934?

Greatest common factor (GCF) of 50922 and 50934 is 6.

GCF(50922,50934) = 6

We will now calculate the prime factors of 50922 and 50934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50922 and 50934.

How to find the GCF of 50922 and 50934?

We will first find the prime factorization of 50922 and 50934. After we will calculate the factors of 50922 and 50934 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 50934

Prime factors of 50934 are 2, 3, 13, 653. Prime factorization of 50934 in exponential form is:

50934 = 2¹ × 3¹ × 13¹ × 653¹

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 50934

List of positive integer factors of 50934 that divides 50922 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 653, 1306, 1959, 3918, 8489, 16978, 25467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50922 and 50934. The biggest common factor number is the GCF number.
So the greatest common factor 50922 and 50934 is 6.

Also check out the Least Common Multiple of 50922 and 50934