What is the Greatest Common Factor of 46575 and 46591?

Greatest common factor (GCF) of 46575 and 46591 is 1.

GCF(46575,46591) = 1

We will now calculate the prime factors of 46575 and 46591, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46575 and 46591.

How to find the GCF of 46575 and 46591?

We will first find the prime factorization of 46575 and 46591. After we will calculate the factors of 46575 and 46591 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 46591

Prime factors of 46591 are 46591. Prime factorization of 46591 in exponential form is:

46591 = 46591¹

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 46591

List of positive integer factors of 46591 that divides 46575 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46575 and 46591. The biggest common factor number is the GCF number.
So the greatest common factor 46575 and 46591 is 1.

Also check out the Least Common Multiple of 46575 and 46591