What is the Greatest Common Factor of 93723 and 93735?

Greatest common factor (GCF) of 93723 and 93735 is 3.

GCF(93723,93735) = 3

We will now calculate the prime factors of 93723 and 93735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93723 and 93735.

How to find the GCF of 93723 and 93735?

We will first find the prime factorization of 93723 and 93735. After we will calculate the factors of 93723 and 93735 and find the biggest common factor number .

Step-1: Prime Factorization of 93723

Prime factors of 93723 are 3, 7, 4463. Prime factorization of 93723 in exponential form is:

93723 = 3¹ × 7¹ × 4463¹

Step-2: 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-3: Factors of 93723

List of positive integer factors of 93723 that divides 93723 without a remainder.

1, 3, 7, 21, 4463, 13389, 31241

Step-4: Factors of 93735

List of positive integer factors of 93735 that divides 93723 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93723 and 93735. The biggest common factor number is the GCF number.
So the greatest common factor 93723 and 93735 is 3.

Also check out the Least Common Multiple of 93723 and 93735