What is the Greatest Common Factor of 99333 and 99345?

Greatest common factor (GCF) of 99333 and 99345 is 3.

GCF(99333,99345) = 3

We will now calculate the prime factors of 99333 and 99345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99333 and 99345.

How to find the GCF of 99333 and 99345?

We will first find the prime factorization of 99333 and 99345. After we will calculate the factors of 99333 and 99345 and find the biggest common factor number .

Step-1: Prime Factorization of 99333

Prime factors of 99333 are 3, 13, 283. Prime factorization of 99333 in exponential form is:

99333 = 3³ × 13¹ × 283¹

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 99333

List of positive integer factors of 99333 that divides 99333 without a remainder.

1, 3, 9, 13, 27, 39, 117, 283, 351, 849, 2547, 3679, 7641, 11037, 33111

Step-4: Factors of 99345

List of positive integer factors of 99345 that divides 99333 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 99333 and 99345. The biggest common factor number is the GCF number.
So the greatest common factor 99333 and 99345 is 3.

Also check out the Least Common Multiple of 99333 and 99345