What is the Greatest Common Factor of 46287 and 46305?

Greatest common factor (GCF) of 46287 and 46305 is 9.

GCF(46287,46305) = 9

We will now calculate the prime factors of 46287 and 46305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46287 and 46305.

How to find the GCF of 46287 and 46305?

We will first find the prime factorization of 46287 and 46305. After we will calculate the factors of 46287 and 46305 and find the biggest common factor number .

Step-1: Prime Factorization of 46287

Prime factors of 46287 are 3, 37, 139. Prime factorization of 46287 in exponential form is:

46287 = 3² × 37¹ × 139¹

Step-2: 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-3: Factors of 46287

List of positive integer factors of 46287 that divides 46287 without a remainder.

1, 3, 9, 37, 111, 139, 333, 417, 1251, 5143, 15429

Step-4: Factors of 46305

List of positive integer factors of 46305 that divides 46287 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46287 and 46305. The biggest common factor number is the GCF number.
So the greatest common factor 46287 and 46305 is 9.

Also check out the Least Common Multiple of 46287 and 46305