What is the Greatest Common Factor of 6141 and 6161?

Greatest common factor (GCF) of 6141 and 6161 is 1.

GCF(6141,6161) = 1

We will now calculate the prime factors of 6141 and 6161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6141 and 6161.

How to find the GCF of 6141 and 6161?

We will first find the prime factorization of 6141 and 6161. After we will calculate the factors of 6141 and 6161 and find the biggest common factor number .

Step-1: Prime Factorization of 6141

Prime factors of 6141 are 3, 23, 89. Prime factorization of 6141 in exponential form is:

6141 = 3¹ × 23¹ × 89¹

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 6141

List of positive integer factors of 6141 that divides 6141 without a remainder.

1, 3, 23, 69, 89, 267, 2047

Step-4: Factors of 6161

List of positive integer factors of 6161 that divides 6141 without a remainder.

1, 61, 101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6141 and 6161. The biggest common factor number is the GCF number.
So the greatest common factor 6141 and 6161 is 1.

Also check out the Least Common Multiple of 6141 and 6161