What is the Greatest Common Factor of 46305 and 46317?

Greatest common factor (GCF) of 46305 and 46317 is 3.

GCF(46305,46317) = 3

We will now calculate the prime factors of 46305 and 46317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46305 and 46317.

How to find the GCF of 46305 and 46317?

We will first find the prime factorization of 46305 and 46317. After we will calculate the factors of 46305 and 46317 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 46317

Prime factors of 46317 are 3, 15439. Prime factorization of 46317 in exponential form is:

46317 = 3¹ × 15439¹

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 46317

List of positive integer factors of 46317 that divides 46305 without a remainder.

1, 3, 15439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46305 and 46317. The biggest common factor number is the GCF number.
So the greatest common factor 46305 and 46317 is 3.

Also check out the Least Common Multiple of 46305 and 46317