What is the Greatest Common Factor of 22914 and 22918?

Greatest common factor (GCF) of 22914 and 22918 is 2.

GCF(22914,22918) = 2

We will now calculate the prime factors of 22914 and 22918, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22914 and 22918.

How to find the GCF of 22914 and 22918?

We will first find the prime factorization of 22914 and 22918. After we will calculate the factors of 22914 and 22918 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 22918

Prime factors of 22918 are 2, 7, 1637. Prime factorization of 22918 in exponential form is:

22918 = 2¹ × 7¹ × 1637¹

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 22918

List of positive integer factors of 22918 that divides 22914 without a remainder.

1, 2, 7, 14, 1637, 3274, 11459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22914 and 22918. The biggest common factor number is the GCF number.
So the greatest common factor 22914 and 22918 is 2.

Also check out the Least Common Multiple of 22914 and 22918