What is the Greatest Common Factor of 6141 and 6159?

Greatest common factor (GCF) of 6141 and 6159 is 3.

GCF(6141,6159) = 3

We will now calculate the prime factors of 6141 and 6159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6141 and 6159.

How to find the GCF of 6141 and 6159?

We will first find the prime factorization of 6141 and 6159. After we will calculate the factors of 6141 and 6159 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 6159

Prime factors of 6159 are 3, 2053. Prime factorization of 6159 in exponential form is:

6159 = 3¹ × 2053¹

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 6159

List of positive integer factors of 6159 that divides 6141 without a remainder.

1, 3, 2053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6141 and 6159. The biggest common factor number is the GCF number.
So the greatest common factor 6141 and 6159 is 3.

Also check out the Least Common Multiple of 6141 and 6159