What is the Greatest Common Factor of 46359 and 46379?

Greatest common factor (GCF) of 46359 and 46379 is 1.

GCF(46359,46379) = 1

We will now calculate the prime factors of 46359 and 46379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46359 and 46379.

How to find the GCF of 46359 and 46379?

We will first find the prime factorization of 46359 and 46379. After we will calculate the factors of 46359 and 46379 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 46379

Prime factors of 46379 are 19, 2441. Prime factorization of 46379 in exponential form is:

46379 = 19¹ × 2441¹

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 46379

List of positive integer factors of 46379 that divides 46359 without a remainder.

1, 19, 2441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46359 and 46379. The biggest common factor number is the GCF number.
So the greatest common factor 46359 and 46379 is 1.

Also check out the Least Common Multiple of 46359 and 46379