What is the Greatest Common Factor of 46575 and 46589?

Greatest common factor (GCF) of 46575 and 46589 is 1.

GCF(46575,46589) = 1

We will now calculate the prime factors of 46575 and 46589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46575 and 46589.

How to find the GCF of 46575 and 46589?

We will first find the prime factorization of 46575 and 46589. After we will calculate the factors of 46575 and 46589 and find the biggest common factor number .

Step-1: Prime Factorization of 46575

Prime factors of 46575 are 3, 5, 23. Prime factorization of 46575 in exponential form is:

46575 = 3⁴ × 5² × 23¹

Step-2: Prime Factorization of 46589

Prime factors of 46589 are 46589. Prime factorization of 46589 in exponential form is:

46589 = 46589¹

Step-3: Factors of 46575

List of positive integer factors of 46575 that divides 46575 without a remainder.

1, 3, 5, 9, 15, 23, 25, 27, 45, 69, 75, 81, 115, 135, 207, 225, 345, 405, 575, 621, 675, 1035, 1725, 1863, 2025, 3105, 5175, 9315, 15525

Step-4: Factors of 46589

List of positive integer factors of 46589 that divides 46575 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46575 and 46589. The biggest common factor number is the GCF number.
So the greatest common factor 46575 and 46589 is 1.

Also check out the Least Common Multiple of 46575 and 46589