What is the Greatest Common Factor of 46305 and 46323?

Greatest common factor (GCF) of 46305 and 46323 is 9.

GCF(46305,46323) = 9

We will now calculate the prime factors of 46305 and 46323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46305 and 46323.

How to find the GCF of 46305 and 46323?

We will first find the prime factorization of 46305 and 46323. After we will calculate the factors of 46305 and 46323 and find the biggest common factor number .

Step-1: Prime Factorization of 46305

Prime factors of 46305 are 3, 5, 7. Prime factorization of 46305 in exponential form is:

46305 = 3³ × 5¹ × 7³

Step-2: Prime Factorization of 46323

Prime factors of 46323 are 3, 5147. Prime factorization of 46323 in exponential form is:

46323 = 3² × 5147¹

Step-3: Factors of 46305

List of positive integer factors of 46305 that divides 46305 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 343, 441, 735, 945, 1029, 1323, 1715, 2205, 3087, 5145, 6615, 9261, 15435

Step-4: Factors of 46323

List of positive integer factors of 46323 that divides 46305 without a remainder.

1, 3, 9, 5147, 15441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46305 and 46323. The biggest common factor number is the GCF number.
So the greatest common factor 46305 and 46323 is 9.

Also check out the Least Common Multiple of 46305 and 46323