What is the Greatest Common Factor of 6128 and 6144?

Greatest common factor (GCF) of 6128 and 6144 is 16.

GCF(6128,6144) = 16

We will now calculate the prime factors of 6128 and 6144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6128 and 6144.

How to find the GCF of 6128 and 6144?

We will first find the prime factorization of 6128 and 6144. After we will calculate the factors of 6128 and 6144 and find the biggest common factor number .

Step-1: Prime Factorization of 6128

Prime factors of 6128 are 2, 383. Prime factorization of 6128 in exponential form is:

6128 = 2⁴ × 383¹

Step-2: Prime Factorization of 6144

Prime factors of 6144 are 2, 3. Prime factorization of 6144 in exponential form is:

6144 = 2¹¹ × 3¹

Step-3: Factors of 6128

List of positive integer factors of 6128 that divides 6128 without a remainder.

1, 2, 4, 8, 16, 383, 766, 1532, 3064

Step-4: Factors of 6144

List of positive integer factors of 6144 that divides 6128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6128 and 6144. The biggest common factor number is the GCF number.
So the greatest common factor 6128 and 6144 is 16.

Also check out the Least Common Multiple of 6128 and 6144