What is the Greatest Common Factor of 3084 and 3099?

Greatest common factor (GCF) of 3084 and 3099 is 3.

GCF(3084,3099) = 3

We will now calculate the prime factors of 3084 and 3099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3084 and 3099.

How to find the GCF of 3084 and 3099?

We will first find the prime factorization of 3084 and 3099. After we will calculate the factors of 3084 and 3099 and find the biggest common factor number .

Step-1: Prime Factorization of 3084

Prime factors of 3084 are 2, 3, 257. Prime factorization of 3084 in exponential form is:

3084 = 2² × 3¹ × 257¹

Step-2: Prime Factorization of 3099

Prime factors of 3099 are 3, 1033. Prime factorization of 3099 in exponential form is:

3099 = 3¹ × 1033¹

Step-3: Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542

Step-4: Factors of 3099

List of positive integer factors of 3099 that divides 3084 without a remainder.

1, 3, 1033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3084 and 3099. The biggest common factor number is the GCF number.
So the greatest common factor 3084 and 3099 is 3.

Also check out the Least Common Multiple of 3084 and 3099