What is the Greatest Common Factor of 93735 and 93742?

Greatest common factor (GCF) of 93735 and 93742 is 1.

GCF(93735,93742) = 1

We will now calculate the prime factors of 93735 and 93742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93735 and 93742.

How to find the GCF of 93735 and 93742?

We will first find the prime factorization of 93735 and 93742. After we will calculate the factors of 93735 and 93742 and find the biggest common factor number .

Step-1: Prime Factorization of 93735

Prime factors of 93735 are 3, 5, 2083. Prime factorization of 93735 in exponential form is:

93735 = 3² × 5¹ × 2083¹

Step-2: Prime Factorization of 93742

Prime factors of 93742 are 2, 11, 4261. Prime factorization of 93742 in exponential form is:

93742 = 2¹ × 11¹ × 4261¹

Step-3: Factors of 93735

List of positive integer factors of 93735 that divides 93735 without a remainder.

1, 3, 5, 9, 15, 45, 2083, 6249, 10415, 18747, 31245

Step-4: Factors of 93742

List of positive integer factors of 93742 that divides 93735 without a remainder.

1, 2, 11, 22, 4261, 8522, 46871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93735 and 93742. The biggest common factor number is the GCF number.
So the greatest common factor 93735 and 93742 is 1.

Also check out the Least Common Multiple of 93735 and 93742