What is the Greatest Common Factor of 92436 and 92445?

Greatest common factor (GCF) of 92436 and 92445 is 3.

GCF(92436,92445) = 3

We will now calculate the prime factors of 92436 and 92445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92436 and 92445.

How to find the GCF of 92436 and 92445?

We will first find the prime factorization of 92436 and 92445. After we will calculate the factors of 92436 and 92445 and find the biggest common factor number .

Step-1: Prime Factorization of 92436

Prime factors of 92436 are 2, 3, 7703. Prime factorization of 92436 in exponential form is:

92436 = 2² × 3¹ × 7703¹

Step-2: Prime Factorization of 92445

Prime factors of 92445 are 3, 5, 6163. Prime factorization of 92445 in exponential form is:

92445 = 3¹ × 5¹ × 6163¹

Step-3: Factors of 92436

List of positive integer factors of 92436 that divides 92436 without a remainder.

1, 2, 3, 4, 6, 12, 7703, 15406, 23109, 30812, 46218

Step-4: Factors of 92445

List of positive integer factors of 92445 that divides 92436 without a remainder.

1, 3, 5, 15, 6163, 18489, 30815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92436 and 92445. The biggest common factor number is the GCF number.
So the greatest common factor 92436 and 92445 is 3.

Also check out the Least Common Multiple of 92436 and 92445