What is the Greatest Common Factor of 6144 and 6153?

Greatest common factor (GCF) of 6144 and 6153 is 3.

GCF(6144,6153) = 3

We will now calculate the prime factors of 6144 and 6153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6144 and 6153.

How to find the GCF of 6144 and 6153?

We will first find the prime factorization of 6144 and 6153. After we will calculate the factors of 6144 and 6153 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 6153

Prime factors of 6153 are 3, 7, 293. Prime factorization of 6153 in exponential form is:

6153 = 3¹ × 7¹ × 293¹

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 6153

List of positive integer factors of 6153 that divides 6144 without a remainder.

1, 3, 7, 21, 293, 879, 2051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6144 and 6153. The biggest common factor number is the GCF number.
So the greatest common factor 6144 and 6153 is 3.

Also check out the Least Common Multiple of 6144 and 6153