What is the Greatest Common Factor of 57735 and 57742?

Greatest common factor (GCF) of 57735 and 57742 is 1.

GCF(57735,57742) = 1

We will now calculate the prime factors of 57735 and 57742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57735 and 57742.

How to find the GCF of 57735 and 57742?

We will first find the prime factorization of 57735 and 57742. After we will calculate the factors of 57735 and 57742 and find the biggest common factor number .

Step-1: Prime Factorization of 57735

Prime factors of 57735 are 3, 5, 1283. Prime factorization of 57735 in exponential form is:

57735 = 3² × 5¹ × 1283¹

Step-2: Prime Factorization of 57742

Prime factors of 57742 are 2, 28871. Prime factorization of 57742 in exponential form is:

57742 = 2¹ × 28871¹

Step-3: Factors of 57735

List of positive integer factors of 57735 that divides 57735 without a remainder.

1, 3, 5, 9, 15, 45, 1283, 3849, 6415, 11547, 19245

Step-4: Factors of 57742

List of positive integer factors of 57742 that divides 57735 without a remainder.

1, 2, 28871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57735 and 57742. The biggest common factor number is the GCF number.
So the greatest common factor 57735 and 57742 is 1.

Also check out the Least Common Multiple of 57735 and 57742