What is the Greatest Common Factor of 46565 and 46575?

Greatest common factor (GCF) of 46565 and 46575 is 5.

GCF(46565,46575) = 5

We will now calculate the prime factors of 46565 and 46575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46565 and 46575.

How to find the GCF of 46565 and 46575?

We will first find the prime factorization of 46565 and 46575. After we will calculate the factors of 46565 and 46575 and find the biggest common factor number .

Step-1: Prime Factorization of 46565

Prime factors of 46565 are 5, 67, 139. Prime factorization of 46565 in exponential form is:

46565 = 5¹ × 67¹ × 139¹

Step-2: 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-3: Factors of 46565

List of positive integer factors of 46565 that divides 46565 without a remainder.

1, 5, 67, 139, 335, 695, 9313

Step-4: Factors of 46575

List of positive integer factors of 46575 that divides 46565 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46565 and 46575. The biggest common factor number is the GCF number.
So the greatest common factor 46565 and 46575 is 5.

Also check out the Least Common Multiple of 46565 and 46575