What is the Greatest Common Factor of 57675 and 57693?

Greatest common factor (GCF) of 57675 and 57693 is 3.

GCF(57675,57693) = 3

We will now calculate the prime factors of 57675 and 57693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57675 and 57693.

How to find the GCF of 57675 and 57693?

We will first find the prime factorization of 57675 and 57693. After we will calculate the factors of 57675 and 57693 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 57693

Prime factors of 57693 are 3, 19231. Prime factorization of 57693 in exponential form is:

57693 = 3¹ × 19231¹

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 57693

List of positive integer factors of 57693 that divides 57675 without a remainder.

1, 3, 19231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57675 and 57693. The biggest common factor number is the GCF number.
So the greatest common factor 57675 and 57693 is 3.

Also check out the Least Common Multiple of 57675 and 57693