What is the Greatest Common Factor of 23265 and 23274?

Greatest common factor (GCF) of 23265 and 23274 is 9.

GCF(23265,23274) = 9

We will now calculate the prime factors of 23265 and 23274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23265 and 23274.

How to find the GCF of 23265 and 23274?

We will first find the prime factorization of 23265 and 23274. After we will calculate the factors of 23265 and 23274 and find the biggest common factor number .

Step-1: Prime Factorization of 23265

Prime factors of 23265 are 3, 5, 11, 47. Prime factorization of 23265 in exponential form is:

23265 = 3² × 5¹ × 11¹ × 47¹

Step-2: 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-3: Factors of 23265

List of positive integer factors of 23265 that divides 23265 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 47, 55, 99, 141, 165, 235, 423, 495, 517, 705, 1551, 2115, 2585, 4653, 7755

Step-4: Factors of 23274

List of positive integer factors of 23274 that divides 23265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23265 and 23274. The biggest common factor number is the GCF number.
So the greatest common factor 23265 and 23274 is 9.

Also check out the Least Common Multiple of 23265 and 23274