What is the Greatest Common Factor of 23199 and 23208?

Greatest common factor (GCF) of 23199 and 23208 is 3.

GCF(23199,23208) = 3

We will now calculate the prime factors of 23199 and 23208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23199 and 23208.

How to find the GCF of 23199 and 23208?

We will first find the prime factorization of 23199 and 23208. After we will calculate the factors of 23199 and 23208 and find the biggest common factor number .

Step-1: Prime Factorization of 23199

Prime factors of 23199 are 3, 11, 19, 37. Prime factorization of 23199 in exponential form is:

23199 = 3¹ × 11¹ × 19¹ × 37¹

Step-2: 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-3: Factors of 23199

List of positive integer factors of 23199 that divides 23199 without a remainder.

1, 3, 11, 19, 33, 37, 57, 111, 209, 407, 627, 703, 1221, 2109, 7733

Step-4: Factors of 23208

List of positive integer factors of 23208 that divides 23199 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23199 and 23208. The biggest common factor number is the GCF number.
So the greatest common factor 23199 and 23208 is 3.

Also check out the Least Common Multiple of 23199 and 23208