What is the Greatest Common Factor of 6144 and 6157?

Greatest common factor (GCF) of 6144 and 6157 is 1.

GCF(6144,6157) = 1

We will now calculate the prime factors of 6144 and 6157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6144 and 6157.

How to find the GCF of 6144 and 6157?

We will first find the prime factorization of 6144 and 6157. After we will calculate the factors of 6144 and 6157 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 6157

Prime factors of 6157 are 47, 131. Prime factorization of 6157 in exponential form is:

6157 = 47¹ × 131¹

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 6157

List of positive integer factors of 6157 that divides 6144 without a remainder.

1, 47, 131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6144 and 6157. The biggest common factor number is the GCF number.
So the greatest common factor 6144 and 6157 is 1.

Also check out the Least Common Multiple of 6144 and 6157