What is the Greatest Common Factor of 22914 and 22925?

Greatest common factor (GCF) of 22914 and 22925 is 1.

GCF(22914,22925) = 1

We will now calculate the prime factors of 22914 and 22925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22914 and 22925.

How to find the GCF of 22914 and 22925?

We will first find the prime factorization of 22914 and 22925. After we will calculate the factors of 22914 and 22925 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 22925

Prime factors of 22925 are 5, 7, 131. Prime factorization of 22925 in exponential form is:

22925 = 5² × 7¹ × 131¹

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 22925

List of positive integer factors of 22925 that divides 22914 without a remainder.

1, 5, 7, 25, 35, 131, 175, 655, 917, 3275, 4585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22914 and 22925. The biggest common factor number is the GCF number.
So the greatest common factor 22914 and 22925 is 1.

Also check out the Least Common Multiple of 22914 and 22925