What is the Greatest Common Factor of 99363 and 99369?

Greatest common factor (GCF) of 99363 and 99369 is 3.

GCF(99363,99369) = 3

We will now calculate the prime factors of 99363 and 99369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99363 and 99369.

How to find the GCF of 99363 and 99369?

We will first find the prime factorization of 99363 and 99369. After we will calculate the factors of 99363 and 99369 and find the biggest common factor number .

Step-1: Prime Factorization of 99363

Prime factors of 99363 are 3, 11, 3011. Prime factorization of 99363 in exponential form is:

99363 = 3¹ × 11¹ × 3011¹

Step-2: Prime Factorization of 99369

Prime factors of 99369 are 3, 61, 181. Prime factorization of 99369 in exponential form is:

99369 = 3² × 61¹ × 181¹

Step-3: Factors of 99363

List of positive integer factors of 99363 that divides 99363 without a remainder.

1, 3, 11, 33, 3011, 9033, 33121

Step-4: Factors of 99369

List of positive integer factors of 99369 that divides 99363 without a remainder.

1, 3, 9, 61, 181, 183, 543, 549, 1629, 11041, 33123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99363 and 99369. The biggest common factor number is the GCF number.
So the greatest common factor 99363 and 99369 is 3.

Also check out the Least Common Multiple of 99363 and 99369