What is the Greatest Common Factor of 6144 and 6161?

Greatest common factor (GCF) of 6144 and 6161 is 1.

GCF(6144,6161) = 1

We will now calculate the prime factors of 6144 and 6161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6144 and 6161.

How to find the GCF of 6144 and 6161?

We will first find the prime factorization of 6144 and 6161. After we will calculate the factors of 6144 and 6161 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 6161

Prime factors of 6161 are 61, 101. Prime factorization of 6161 in exponential form is:

6161 = 61¹ × 101¹

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 6161

List of positive integer factors of 6161 that divides 6144 without a remainder.

1, 61, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6144 and 6161. The biggest common factor number is the GCF number.
So the greatest common factor 6144 and 6161 is 1.

Also check out the Least Common Multiple of 6144 and 6161