What is the Greatest Common Factor of 57675 and 57681?

Greatest common factor (GCF) of 57675 and 57681 is 3.

GCF(57675,57681) = 3

We will now calculate the prime factors of 57675 and 57681, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57675 and 57681.

How to find the GCF of 57675 and 57681?

We will first find the prime factorization of 57675 and 57681. After we will calculate the factors of 57675 and 57681 and find the biggest common factor number .

Step-1: Prime Factorization of 57675

Prime factors of 57675 are 3, 5, 769. Prime factorization of 57675 in exponential form is:

57675 = 3¹ × 5² × 769¹

Step-2: Prime Factorization of 57681

Prime factors of 57681 are 3, 13, 17, 29. Prime factorization of 57681 in exponential form is:

57681 = 3² × 13¹ × 17¹ × 29¹

Step-3: Factors of 57675

List of positive integer factors of 57675 that divides 57675 without a remainder.

1, 3, 5, 15, 25, 75, 769, 2307, 3845, 11535, 19225

Step-4: Factors of 57681

List of positive integer factors of 57681 that divides 57675 without a remainder.

1, 3, 9, 13, 17, 29, 39, 51, 87, 117, 153, 221, 261, 377, 493, 663, 1131, 1479, 1989, 3393, 4437, 6409, 19227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57675 and 57681. The biggest common factor number is the GCF number.
So the greatest common factor 57675 and 57681 is 3.

Also check out the Least Common Multiple of 57675 and 57681