What is the Greatest Common Factor of 57669 and 57675?

Greatest common factor (GCF) of 57669 and 57675 is 3.

GCF(57669,57675) = 3

We will now calculate the prime factors of 57669 and 57675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57669 and 57675.

How to find the GCF of 57669 and 57675?

We will first find the prime factorization of 57669 and 57675. After we will calculate the factors of 57669 and 57675 and find the biggest common factor number .

Step-1: Prime Factorization of 57669

Prime factors of 57669 are 3, 47, 409. Prime factorization of 57669 in exponential form is:

57669 = 3¹ × 47¹ × 409¹

Step-2: 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-3: Factors of 57669

List of positive integer factors of 57669 that divides 57669 without a remainder.

1, 3, 47, 141, 409, 1227, 19223

Step-4: Factors of 57675

List of positive integer factors of 57675 that divides 57669 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57669 and 57675. The biggest common factor number is the GCF number.
So the greatest common factor 57669 and 57675 is 3.

Also check out the Least Common Multiple of 57669 and 57675