What is the Greatest Common Factor of 93705 and 93715?

Greatest common factor (GCF) of 93705 and 93715 is 5.

GCF(93705,93715) = 5

We will now calculate the prime factors of 93705 and 93715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93705 and 93715.

How to find the GCF of 93705 and 93715?

We will first find the prime factorization of 93705 and 93715. After we will calculate the factors of 93705 and 93715 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 93715

Prime factors of 93715 are 5, 18743. Prime factorization of 93715 in exponential form is:

93715 = 5¹ × 18743¹

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 93715

List of positive integer factors of 93715 that divides 93705 without a remainder.

1, 5, 18743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93705 and 93715. The biggest common factor number is the GCF number.
So the greatest common factor 93705 and 93715 is 5.

Also check out the Least Common Multiple of 93705 and 93715