What is the Greatest Common Factor of 93729 and 93743?

Greatest common factor (GCF) of 93729 and 93743 is 1.

GCF(93729,93743) = 1

We will now calculate the prime factors of 93729 and 93743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93729 and 93743.

How to find the GCF of 93729 and 93743?

We will first find the prime factorization of 93729 and 93743. After we will calculate the factors of 93729 and 93743 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 93743

Prime factors of 93743 are 13, 7211. Prime factorization of 93743 in exponential form is:

93743 = 13¹ × 7211¹

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 93743

List of positive integer factors of 93743 that divides 93729 without a remainder.

1, 13, 7211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93729 and 93743. The biggest common factor number is the GCF number.
So the greatest common factor 93729 and 93743 is 1.

Also check out the Least Common Multiple of 93729 and 93743