What is the Greatest Common Factor of 93690 and 93705?

Greatest common factor (GCF) of 93690 and 93705 is 15.

GCF(93690,93705) = 15

We will now calculate the prime factors of 93690 and 93705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93690 and 93705.

How to find the GCF of 93690 and 93705?

We will first find the prime factorization of 93690 and 93705. After we will calculate the factors of 93690 and 93705 and find the biggest common factor number .

Step-1: Prime Factorization of 93690

Prime factors of 93690 are 2, 3, 5, 347. Prime factorization of 93690 in exponential form is:

93690 = 2¹ × 3³ × 5¹ × 347¹

Step-2: 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-3: Factors of 93690

List of positive integer factors of 93690 that divides 93690 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 347, 694, 1041, 1735, 2082, 3123, 3470, 5205, 6246, 9369, 10410, 15615, 18738, 31230, 46845

Step-4: Factors of 93705

List of positive integer factors of 93705 that divides 93690 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93690 and 93705. The biggest common factor number is the GCF number.
So the greatest common factor 93690 and 93705 is 15.

Also check out the Least Common Multiple of 93690 and 93705