What is the Greatest Common Factor of 93705 and 93723?

Greatest common factor (GCF) of 93705 and 93723 is 3.

GCF(93705,93723) = 3

We will now calculate the prime factors of 93705 and 93723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93705 and 93723.

How to find the GCF of 93705 and 93723?

We will first find the prime factorization of 93705 and 93723. After we will calculate the factors of 93705 and 93723 and find the biggest common factor number .

Step-1: Prime Factorization of 93705

Prime factors of 93705 are 3, 5, 6247. Prime factorization of 93705 in exponential form is:

93705 = 3¹ × 5¹ × 6247¹

Step-2: 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-3: Factors of 93705

List of positive integer factors of 93705 that divides 93705 without a remainder.

1, 3, 5, 15, 6247, 18741, 31235

Step-4: Factors of 93723

List of positive integer factors of 93723 that divides 93705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93705 and 93723. The biggest common factor number is the GCF number.
So the greatest common factor 93705 and 93723 is 3.

Also check out the Least Common Multiple of 93705 and 93723