What is the Greatest Common Factor of 99339 and 99345?

Greatest common factor (GCF) of 99339 and 99345 is 3.

GCF(99339,99345) = 3

We will now calculate the prime factors of 99339 and 99345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99339 and 99345.

How to find the GCF of 99339 and 99345?

We will first find the prime factorization of 99339 and 99345. After we will calculate the factors of 99339 and 99345 and find the biggest common factor number .

Step-1: Prime Factorization of 99339

Prime factors of 99339 are 3, 33113. Prime factorization of 99339 in exponential form is:

99339 = 3¹ × 33113¹

Step-2: Prime Factorization of 99345

Prime factors of 99345 are 3, 5, 37, 179. Prime factorization of 99345 in exponential form is:

99345 = 3¹ × 5¹ × 37¹ × 179¹

Step-3: Factors of 99339

List of positive integer factors of 99339 that divides 99339 without a remainder.

1, 3, 33113

Step-4: Factors of 99345

List of positive integer factors of 99345 that divides 99339 without a remainder.

1, 3, 5, 15, 37, 111, 179, 185, 537, 555, 895, 2685, 6623, 19869, 33115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99339 and 99345. The biggest common factor number is the GCF number.
So the greatest common factor 99339 and 99345 is 3.

Also check out the Least Common Multiple of 99339 and 99345