What is the Greatest Common Factor of 46575 and 46581?

Greatest common factor (GCF) of 46575 and 46581 is 3.

GCF(46575,46581) = 3

We will now calculate the prime factors of 46575 and 46581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46575 and 46581.

How to find the GCF of 46575 and 46581?

We will first find the prime factorization of 46575 and 46581. After we will calculate the factors of 46575 and 46581 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 46581

Prime factors of 46581 are 3, 15527. Prime factorization of 46581 in exponential form is:

46581 = 3¹ × 15527¹

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 46581

List of positive integer factors of 46581 that divides 46575 without a remainder.

1, 3, 15527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46575 and 46581. The biggest common factor number is the GCF number.
So the greatest common factor 46575 and 46581 is 3.

Also check out the Least Common Multiple of 46575 and 46581