What is the Greatest Common Factor of 46359 and 46365?

Greatest common factor (GCF) of 46359 and 46365 is 3.

GCF(46359,46365) = 3

We will now calculate the prime factors of 46359 and 46365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46359 and 46365.

How to find the GCF of 46359 and 46365?

We will first find the prime factorization of 46359 and 46365. After we will calculate the factors of 46359 and 46365 and find the biggest common factor number .

Step-1: Prime Factorization of 46359

Prime factors of 46359 are 3, 17, 101. Prime factorization of 46359 in exponential form is:

46359 = 3³ × 17¹ × 101¹

Step-2: Prime Factorization of 46365

Prime factors of 46365 are 3, 5, 11, 281. Prime factorization of 46365 in exponential form is:

46365 = 3¹ × 5¹ × 11¹ × 281¹

Step-3: Factors of 46359

List of positive integer factors of 46359 that divides 46359 without a remainder.

1, 3, 9, 17, 27, 51, 101, 153, 303, 459, 909, 1717, 2727, 5151, 15453

Step-4: Factors of 46365

List of positive integer factors of 46365 that divides 46359 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 281, 843, 1405, 3091, 4215, 9273, 15455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46359 and 46365. The biggest common factor number is the GCF number.
So the greatest common factor 46359 and 46365 is 3.

Also check out the Least Common Multiple of 46359 and 46365