What is the Greatest Common Factor of 57675 and 57695?

Greatest common factor (GCF) of 57675 and 57695 is 5.

GCF(57675,57695) = 5

We will now calculate the prime factors of 57675 and 57695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57675 and 57695.

How to find the GCF of 57675 and 57695?

We will first find the prime factorization of 57675 and 57695. After we will calculate the factors of 57675 and 57695 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 57695

Prime factors of 57695 are 5, 11, 1049. Prime factorization of 57695 in exponential form is:

57695 = 5¹ × 11¹ × 1049¹

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 57695

List of positive integer factors of 57695 that divides 57675 without a remainder.

1, 5, 11, 55, 1049, 5245, 11539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57675 and 57695. The biggest common factor number is the GCF number.
So the greatest common factor 57675 and 57695 is 5.

Also check out the Least Common Multiple of 57675 and 57695