What is the Greatest Common Factor of 6144 and 6150?

Greatest common factor (GCF) of 6144 and 6150 is 6.

GCF(6144,6150) = 6

We will now calculate the prime factors of 6144 and 6150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6144 and 6150.

How to find the GCF of 6144 and 6150?

We will first find the prime factorization of 6144 and 6150. After we will calculate the factors of 6144 and 6150 and find the biggest common factor number .

Step-1: Prime Factorization of 6144

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

6144 = 2¹¹ × 3¹

Step-2: Prime Factorization of 6150

Prime factors of 6150 are 2, 3, 5, 41. Prime factorization of 6150 in exponential form is:

6150 = 2¹ × 3¹ × 5² × 41¹

Step-3: Factors of 6144

List of positive integer factors of 6144 that divides 6144 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

Step-4: Factors of 6150

List of positive integer factors of 6150 that divides 6144 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 41, 50, 75, 82, 123, 150, 205, 246, 410, 615, 1025, 1230, 2050, 3075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6144 and 6150. The biggest common factor number is the GCF number.
So the greatest common factor 6144 and 6150 is 6.

Also check out the Least Common Multiple of 6144 and 6150