What is the Greatest Common Factor of 93729 and 93742?

Greatest common factor (GCF) of 93729 and 93742 is 1.

GCF(93729,93742) = 1

We will now calculate the prime factors of 93729 and 93742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93729 and 93742.

How to find the GCF of 93729 and 93742?

We will first find the prime factorization of 93729 and 93742. After we will calculate the factors of 93729 and 93742 and find the biggest common factor number .

Step-1: Prime Factorization of 93729

Prime factors of 93729 are 3, 157, 199. Prime factorization of 93729 in exponential form is:

93729 = 3¹ × 157¹ × 199¹

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 93729

List of positive integer factors of 93729 that divides 93729 without a remainder.

1, 3, 157, 199, 471, 597, 31243

Step-4: Factors of 93742

List of positive integer factors of 93742 that divides 93729 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93729 and 93742. The biggest common factor number is the GCF number.
So the greatest common factor 93729 and 93742 is 1.

Also check out the Least Common Multiple of 93729 and 93742