What is the Greatest Common Factor of 50904 and 50922?

Greatest common factor (GCF) of 50904 and 50922 is 18.

GCF(50904,50922) = 18

We will now calculate the prime factors of 50904 and 50922, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50904 and 50922.

How to find the GCF of 50904 and 50922?

We will first find the prime factorization of 50904 and 50922. After we will calculate the factors of 50904 and 50922 and find the biggest common factor number .

Step-1: Prime Factorization of 50904

Prime factors of 50904 are 2, 3, 7, 101. Prime factorization of 50904 in exponential form is:

50904 = 2³ × 3² × 7¹ × 101¹

Step-2: 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-3: Factors of 50904

List of positive integer factors of 50904 that divides 50904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 101, 126, 168, 202, 252, 303, 404, 504, 606, 707, 808, 909, 1212, 1414, 1818, 2121, 2424, 2828, 3636, 4242, 5656, 6363, 7272, 8484, 12726, 16968, 25452

Step-4: Factors of 50922

List of positive integer factors of 50922 that divides 50904 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50904 and 50922. The biggest common factor number is the GCF number.
So the greatest common factor 50904 and 50922 is 18.

Also check out the Least Common Multiple of 50904 and 50922