What is the Greatest Common Factor of 92409 and 92418?

Greatest common factor (GCF) of 92409 and 92418 is 3.

GCF(92409,92418) = 3

We will now calculate the prime factors of 92409 and 92418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92409 and 92418.

How to find the GCF of 92409 and 92418?

We will first find the prime factorization of 92409 and 92418. After we will calculate the factors of 92409 and 92418 and find the biggest common factor number .

Step-1: Prime Factorization of 92409

Prime factors of 92409 are 3, 30803. Prime factorization of 92409 in exponential form is:

92409 = 3¹ × 30803¹

Step-2: Prime Factorization of 92418

Prime factors of 92418 are 2, 3, 73, 211. Prime factorization of 92418 in exponential form is:

92418 = 2¹ × 3¹ × 73¹ × 211¹

Step-3: Factors of 92409

List of positive integer factors of 92409 that divides 92409 without a remainder.

1, 3, 30803

Step-4: Factors of 92418

List of positive integer factors of 92418 that divides 92409 without a remainder.

1, 2, 3, 6, 73, 146, 211, 219, 422, 438, 633, 1266, 15403, 30806, 46209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92409 and 92418. The biggest common factor number is the GCF number.
So the greatest common factor 92409 and 92418 is 3.

Also check out the Least Common Multiple of 92409 and 92418