What is the Greatest Common Factor of 57726 and 57735?

Greatest common factor (GCF) of 57726 and 57735 is 9.

GCF(57726,57735) = 9

We will now calculate the prime factors of 57726 and 57735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57726 and 57735.

How to find the GCF of 57726 and 57735?

We will first find the prime factorization of 57726 and 57735. After we will calculate the factors of 57726 and 57735 and find the biggest common factor number .

Step-1: Prime Factorization of 57726

Prime factors of 57726 are 2, 3, 1069. Prime factorization of 57726 in exponential form is:

57726 = 2¹ × 3³ × 1069¹

Step-2: 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-3: Factors of 57726

List of positive integer factors of 57726 that divides 57726 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1069, 2138, 3207, 6414, 9621, 19242, 28863

Step-4: Factors of 57735

List of positive integer factors of 57735 that divides 57726 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57726 and 57735. The biggest common factor number is the GCF number.
So the greatest common factor 57726 and 57735 is 9.

Also check out the Least Common Multiple of 57726 and 57735