What is the Greatest Common Factor of 99369 and 99384?

Greatest common factor (GCF) of 99369 and 99384 is 3.

GCF(99369,99384) = 3

We will now calculate the prime factors of 99369 and 99384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99369 and 99384.

How to find the GCF of 99369 and 99384?

We will first find the prime factorization of 99369 and 99384. After we will calculate the factors of 99369 and 99384 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 99384

Prime factors of 99384 are 2, 3, 41, 101. Prime factorization of 99384 in exponential form is:

99384 = 2³ × 3¹ × 41¹ × 101¹

Step-3: Factors of 99369

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

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

Step-4: Factors of 99384

List of positive integer factors of 99384 that divides 99369 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 101, 123, 164, 202, 246, 303, 328, 404, 492, 606, 808, 984, 1212, 2424, 4141, 8282, 12423, 16564, 24846, 33128, 49692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99369 and 99384. The biggest common factor number is the GCF number.
So the greatest common factor 99369 and 99384 is 3.

Also check out the Least Common Multiple of 99369 and 99384