What is the Greatest Common Factor of 93675 and 93685?

Greatest common factor (GCF) of 93675 and 93685 is 5.

GCF(93675,93685) = 5

We will now calculate the prime factors of 93675 and 93685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93675 and 93685.

How to find the GCF of 93675 and 93685?

We will first find the prime factorization of 93675 and 93685. After we will calculate the factors of 93675 and 93685 and find the biggest common factor number .

Step-1: Prime Factorization of 93675

Prime factors of 93675 are 3, 5, 1249. Prime factorization of 93675 in exponential form is:

93675 = 3¹ × 5² × 1249¹

Step-2: Prime Factorization of 93685

Prime factors of 93685 are 5, 41, 457. Prime factorization of 93685 in exponential form is:

93685 = 5¹ × 41¹ × 457¹

Step-3: Factors of 93675

List of positive integer factors of 93675 that divides 93675 without a remainder.

1, 3, 5, 15, 25, 75, 1249, 3747, 6245, 18735, 31225

Step-4: Factors of 93685

List of positive integer factors of 93685 that divides 93675 without a remainder.

1, 5, 41, 205, 457, 2285, 18737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93675 and 93685. The biggest common factor number is the GCF number.
So the greatest common factor 93675 and 93685 is 5.

Also check out the Least Common Multiple of 93675 and 93685