What is the Greatest Common Factor of 99333 and 99346?

Greatest common factor (GCF) of 99333 and 99346 is 13.

GCF(99333,99346) = 13

We will now calculate the prime factors of 99333 and 99346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99333 and 99346.

How to find the GCF of 99333 and 99346?

We will first find the prime factorization of 99333 and 99346. After we will calculate the factors of 99333 and 99346 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 99346

Prime factors of 99346 are 2, 13, 3821. Prime factorization of 99346 in exponential form is:

99346 = 2¹ × 13¹ × 3821¹

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 99346

List of positive integer factors of 99346 that divides 99333 without a remainder.

1, 2, 13, 26, 3821, 7642, 49673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99333 and 99346. The biggest common factor number is the GCF number.
So the greatest common factor 99333 and 99346 is 13.

Also check out the Least Common Multiple of 99333 and 99346