What is the Greatest Common Factor of 57735 and 57740?

Greatest common factor (GCF) of 57735 and 57740 is 5.

GCF(57735,57740) = 5

We will now calculate the prime factors of 57735 and 57740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57735 and 57740.

How to find the GCF of 57735 and 57740?

We will first find the prime factorization of 57735 and 57740. After we will calculate the factors of 57735 and 57740 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 57740

Prime factors of 57740 are 2, 5, 2887. Prime factorization of 57740 in exponential form is:

57740 = 2² × 5¹ × 2887¹

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 57740

List of positive integer factors of 57740 that divides 57735 without a remainder.

1, 2, 4, 5, 10, 20, 2887, 5774, 11548, 14435, 28870

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57735 and 57740. The biggest common factor number is the GCF number.
So the greatest common factor 57735 and 57740 is 5.

Also check out the Least Common Multiple of 57735 and 57740