What is the Greatest Common Factor of 22914 and 22921?

Greatest common factor (GCF) of 22914 and 22921 is 1.

GCF(22914,22921) = 1

We will now calculate the prime factors of 22914 and 22921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22914 and 22921.

How to find the GCF of 22914 and 22921?

We will first find the prime factorization of 22914 and 22921. After we will calculate the factors of 22914 and 22921 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 22921

Prime factors of 22921 are 22921. Prime factorization of 22921 in exponential form is:

22921 = 22921¹

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 22921

List of positive integer factors of 22921 that divides 22914 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22914 and 22921. The biggest common factor number is the GCF number.
So the greatest common factor 22914 and 22921 is 1.

Also check out the Least Common Multiple of 22914 and 22921