What is the Greatest Common Factor of 22914 and 22933?

Greatest common factor (GCF) of 22914 and 22933 is 19.

GCF(22914,22933) = 19

We will now calculate the prime factors of 22914 and 22933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22914 and 22933.

How to find the GCF of 22914 and 22933?

We will first find the prime factorization of 22914 and 22933. After we will calculate the factors of 22914 and 22933 and find the biggest common factor number .

Step-1: Prime Factorization of 22914

Prime factors of 22914 are 2, 3, 19, 67. Prime factorization of 22914 in exponential form is:

22914 = 2¹ × 3² × 19¹ × 67¹

Step-2: Prime Factorization of 22933

Prime factors of 22933 are 17, 19, 71. Prime factorization of 22933 in exponential form is:

22933 = 17¹ × 19¹ × 71¹

Step-3: Factors of 22914

List of positive integer factors of 22914 that divides 22914 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 67, 114, 134, 171, 201, 342, 402, 603, 1206, 1273, 2546, 3819, 7638, 11457

Step-4: Factors of 22933

List of positive integer factors of 22933 that divides 22914 without a remainder.

1, 17, 19, 71, 323, 1207, 1349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22914 and 22933. The biggest common factor number is the GCF number.
So the greatest common factor 22914 and 22933 is 19.

Also check out the Least Common Multiple of 22914 and 22933