What is the Greatest Common Factor of 46575 and 46584?

Greatest common factor (GCF) of 46575 and 46584 is 9.

GCF(46575,46584) = 9

We will now calculate the prime factors of 46575 and 46584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46575 and 46584.

How to find the GCF of 46575 and 46584?

We will first find the prime factorization of 46575 and 46584. After we will calculate the factors of 46575 and 46584 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 46584

Prime factors of 46584 are 2, 3, 647. Prime factorization of 46584 in exponential form is:

46584 = 2³ × 3² × 647¹

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 46584

List of positive integer factors of 46584 that divides 46575 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 647, 1294, 1941, 2588, 3882, 5176, 5823, 7764, 11646, 15528, 23292

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46575 and 46584. The biggest common factor number is the GCF number.
So the greatest common factor 46575 and 46584 is 9.

Also check out the Least Common Multiple of 46575 and 46584