What is the Greatest Common Factor of 3072 and 3088?

Greatest common factor (GCF) of 3072 and 3088 is 16.

GCF(3072,3088) = 16

We will now calculate the prime factors of 3072 and 3088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3072 and 3088.

How to find the GCF of 3072 and 3088?

We will first find the prime factorization of 3072 and 3088. After we will calculate the factors of 3072 and 3088 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 3088

Prime factors of 3088 are 2, 193. Prime factorization of 3088 in exponential form is:

3088 = 2⁴ × 193¹

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 3088

List of positive integer factors of 3088 that divides 3072 without a remainder.

1, 2, 4, 8, 16, 193, 386, 772, 1544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3072 and 3088. The biggest common factor number is the GCF number.
So the greatest common factor 3072 and 3088 is 16.

Also check out the Least Common Multiple of 3072 and 3088