What is the Greatest Common Factor of 3072 and 3084?

Greatest common factor (GCF) of 3072 and 3084 is 12.

GCF(3072,3084) = 12

We will now calculate the prime factors of 3072 and 3084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3072 and 3084.

How to find the GCF of 3072 and 3084?

We will first find the prime factorization of 3072 and 3084. After we will calculate the factors of 3072 and 3084 and find the biggest common factor number .

Step-1: Prime Factorization of 3072

Prime factors of 3072 are 2, 3. Prime factorization of 3072 in exponential form is:

3072 = 2¹⁰ × 3¹

Step-2: 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-3: Factors of 3072

List of positive integer factors of 3072 that divides 3072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536

Step-4: Factors of 3084

List of positive integer factors of 3084 that divides 3072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3072 and 3084. The biggest common factor number is the GCF number.
So the greatest common factor 3072 and 3084 is 12.

Also check out the Least Common Multiple of 3072 and 3084