What is the Greatest Common Factor of 93685 and 93700?

Greatest common factor (GCF) of 93685 and 93700 is 5.

GCF(93685,93700) = 5

We will now calculate the prime factors of 93685 and 93700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93685 and 93700.

How to find the GCF of 93685 and 93700?

We will first find the prime factorization of 93685 and 93700. After we will calculate the factors of 93685 and 93700 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93700

Prime factors of 93700 are 2, 5, 937. Prime factorization of 93700 in exponential form is:

93700 = 2² × 5² × 937¹

Step-3: Factors of 93685

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

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

Step-4: Factors of 93700

List of positive integer factors of 93700 that divides 93685 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 937, 1874, 3748, 4685, 9370, 18740, 23425, 46850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93685 and 93700. The biggest common factor number is the GCF number.
So the greatest common factor 93685 and 93700 is 5.

Also check out the Least Common Multiple of 93685 and 93700