What is the Greatest Common Factor of 23274 and 23283?

Greatest common factor (GCF) of 23274 and 23283 is 9.

GCF(23274,23283) = 9

We will now calculate the prime factors of 23274 and 23283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23274 and 23283.

How to find the GCF of 23274 and 23283?

We will first find the prime factorization of 23274 and 23283. After we will calculate the factors of 23274 and 23283 and find the biggest common factor number .

Step-1: Prime Factorization of 23274

Prime factors of 23274 are 2, 3, 431. Prime factorization of 23274 in exponential form is:

23274 = 2¹ × 3³ × 431¹

Step-2: 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-3: Factors of 23274

List of positive integer factors of 23274 that divides 23274 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 431, 862, 1293, 2586, 3879, 7758, 11637

Step-4: Factors of 23283

List of positive integer factors of 23283 that divides 23274 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23274 and 23283. The biggest common factor number is the GCF number.
So the greatest common factor 23274 and 23283 is 9.

Also check out the Least Common Multiple of 23274 and 23283