What is the Greatest Common Factor of 23283 and 23301?

Greatest common factor (GCF) of 23283 and 23301 is 9.

GCF(23283,23301) = 9

We will now calculate the prime factors of 23283 and 23301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23283 and 23301.

How to find the GCF of 23283 and 23301?

We will first find the prime factorization of 23283 and 23301. After we will calculate the factors of 23283 and 23301 and find the biggest common factor number .

Step-1: Prime Factorization of 23283

Prime factors of 23283 are 3, 13, 199. Prime factorization of 23283 in exponential form is:

23283 = 3² × 13¹ × 199¹

Step-2: Prime Factorization of 23301

Prime factors of 23301 are 3, 863. Prime factorization of 23301 in exponential form is:

23301 = 3³ × 863¹

Step-3: Factors of 23283

List of positive integer factors of 23283 that divides 23283 without a remainder.

1, 3, 9, 13, 39, 117, 199, 597, 1791, 2587, 7761

Step-4: Factors of 23301

List of positive integer factors of 23301 that divides 23283 without a remainder.

1, 3, 9, 27, 863, 2589, 7767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23283 and 23301. The biggest common factor number is the GCF number.
So the greatest common factor 23283 and 23301 is 9.

Also check out the Least Common Multiple of 23283 and 23301