What is the Greatest Common Factor of 99069 and 99084?

Greatest common factor (GCF) of 99069 and 99084 is 3.

GCF(99069,99084) = 3

We will now calculate the prime factors of 99069 and 99084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99069 and 99084.

How to find the GCF of 99069 and 99084?

We will first find the prime factorization of 99069 and 99084. After we will calculate the factors of 99069 and 99084 and find the biggest common factor number .

Step-1: Prime Factorization of 99069

Prime factors of 99069 are 3, 33023. Prime factorization of 99069 in exponential form is:

99069 = 3¹ × 33023¹

Step-2: Prime Factorization of 99084

Prime factors of 99084 are 2, 3, 23, 359. Prime factorization of 99084 in exponential form is:

99084 = 2² × 3¹ × 23¹ × 359¹

Step-3: Factors of 99069

List of positive integer factors of 99069 that divides 99069 without a remainder.

1, 3, 33023

Step-4: Factors of 99084

List of positive integer factors of 99084 that divides 99069 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 359, 718, 1077, 1436, 2154, 4308, 8257, 16514, 24771, 33028, 49542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99069 and 99084. The biggest common factor number is the GCF number.
So the greatest common factor 99069 and 99084 is 3.

Also check out the Least Common Multiple of 99069 and 99084