What is the Greatest Common Factor of 57675 and 57685?

Greatest common factor (GCF) of 57675 and 57685 is 5.

GCF(57675,57685) = 5

We will now calculate the prime factors of 57675 and 57685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57675 and 57685.

How to find the GCF of 57675 and 57685?

We will first find the prime factorization of 57675 and 57685. After we will calculate the factors of 57675 and 57685 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 57685

Prime factors of 57685 are 5, 83, 139. Prime factorization of 57685 in exponential form is:

57685 = 5¹ × 83¹ × 139¹

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 57685

List of positive integer factors of 57685 that divides 57675 without a remainder.

1, 5, 83, 139, 415, 695, 11537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57675 and 57685. The biggest common factor number is the GCF number.
So the greatest common factor 57675 and 57685 is 5.

Also check out the Least Common Multiple of 57675 and 57685