What is the Greatest Common Factor of 3054 and 3072?

Greatest common factor (GCF) of 3054 and 3072 is 6.

GCF(3054,3072) = 6

We will now calculate the prime factors of 3054 and 3072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3054 and 3072.

How to find the GCF of 3054 and 3072?

We will first find the prime factorization of 3054 and 3072. After we will calculate the factors of 3054 and 3072 and find the biggest common factor number .

Step-1: Prime Factorization of 3054

Prime factors of 3054 are 2, 3, 509. Prime factorization of 3054 in exponential form is:

3054 = 2¹ × 3¹ × 509¹

Step-2: Prime Factorization of 3072

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

3072 = 2¹⁰ × 3¹

Step-3: Factors of 3054

List of positive integer factors of 3054 that divides 3054 without a remainder.

1, 2, 3, 6, 509, 1018, 1527

Step-4: Factors of 3072

List of positive integer factors of 3072 that divides 3054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3054 and 3072. The biggest common factor number is the GCF number.
So the greatest common factor 3054 and 3072 is 6.

Also check out the Least Common Multiple of 3054 and 3072