What is the Greatest Common Factor of 92685 and 92694?

Greatest common factor (GCF) of 92685 and 92694 is 3.

GCF(92685,92694) = 3

We will now calculate the prime factors of 92685 and 92694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92685 and 92694.

How to find the GCF of 92685 and 92694?

We will first find the prime factorization of 92685 and 92694. After we will calculate the factors of 92685 and 92694 and find the biggest common factor number .

Step-1: Prime Factorization of 92685

Prime factors of 92685 are 3, 5, 37, 167. Prime factorization of 92685 in exponential form is:

92685 = 3¹ × 5¹ × 37¹ × 167¹

Step-2: Prime Factorization of 92694

Prime factors of 92694 are 2, 3, 7, 2207. Prime factorization of 92694 in exponential form is:

92694 = 2¹ × 3¹ × 7¹ × 2207¹

Step-3: Factors of 92685

List of positive integer factors of 92685 that divides 92685 without a remainder.

1, 3, 5, 15, 37, 111, 167, 185, 501, 555, 835, 2505, 6179, 18537, 30895

Step-4: Factors of 92694

List of positive integer factors of 92694 that divides 92685 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2207, 4414, 6621, 13242, 15449, 30898, 46347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92685 and 92694. The biggest common factor number is the GCF number.
So the greatest common factor 92685 and 92694 is 3.

Also check out the Least Common Multiple of 92685 and 92694