What is the Greatest Common Factor of 22287 and 22305?

Greatest common factor (GCF) of 22287 and 22305 is 3.

GCF(22287,22305) = 3

We will now calculate the prime factors of 22287 and 22305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22287 and 22305.

How to find the GCF of 22287 and 22305?

We will first find the prime factorization of 22287 and 22305. After we will calculate the factors of 22287 and 22305 and find the biggest common factor number .

Step-1: Prime Factorization of 22287

Prime factors of 22287 are 3, 17, 19, 23. Prime factorization of 22287 in exponential form is:

22287 = 3¹ × 17¹ × 19¹ × 23¹

Step-2: Prime Factorization of 22305

Prime factors of 22305 are 3, 5, 1487. Prime factorization of 22305 in exponential form is:

22305 = 3¹ × 5¹ × 1487¹

Step-3: Factors of 22287

List of positive integer factors of 22287 that divides 22287 without a remainder.

1, 3, 17, 19, 23, 51, 57, 69, 323, 391, 437, 969, 1173, 1311, 7429

Step-4: Factors of 22305

List of positive integer factors of 22305 that divides 22287 without a remainder.

1, 3, 5, 15, 1487, 4461, 7435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22287 and 22305. The biggest common factor number is the GCF number.
So the greatest common factor 22287 and 22305 is 3.

Also check out the Least Common Multiple of 22287 and 22305