What is the Greatest Common Factor of 23208 and 23227?

Greatest common factor (GCF) of 23208 and 23227 is 1.

GCF(23208,23227) = 1

We will now calculate the prime factors of 23208 and 23227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23208 and 23227.

How to find the GCF of 23208 and 23227?

We will first find the prime factorization of 23208 and 23227. After we will calculate the factors of 23208 and 23227 and find the biggest common factor number .

Step-1: Prime Factorization of 23208

Prime factors of 23208 are 2, 3, 967. Prime factorization of 23208 in exponential form is:

23208 = 2³ × 3¹ × 967¹

Step-2: Prime Factorization of 23227

Prime factors of 23227 are 23227. Prime factorization of 23227 in exponential form is:

23227 = 23227¹

Step-3: Factors of 23208

List of positive integer factors of 23208 that divides 23208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 967, 1934, 2901, 3868, 5802, 7736, 11604

Step-4: Factors of 23227

List of positive integer factors of 23227 that divides 23208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23208 and 23227. The biggest common factor number is the GCF number.
So the greatest common factor 23208 and 23227 is 1.

Also check out the Least Common Multiple of 23208 and 23227