What is the Greatest Common Factor of 4131 and 4146?

Greatest common factor (GCF) of 4131 and 4146 is 3.

GCF(4131,4146) = 3

We will now calculate the prime factors of 4131 and 4146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4131 and 4146.

How to find the GCF of 4131 and 4146?

We will first find the prime factorization of 4131 and 4146. After we will calculate the factors of 4131 and 4146 and find the biggest common factor number .

Step-1: Prime Factorization of 4131

Prime factors of 4131 are 3, 17. Prime factorization of 4131 in exponential form is:

4131 = 3⁵ × 17¹

Step-2: Prime Factorization of 4146

Prime factors of 4146 are 2, 3, 691. Prime factorization of 4146 in exponential form is:

4146 = 2¹ × 3¹ × 691¹

Step-3: Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377

Step-4: Factors of 4146

List of positive integer factors of 4146 that divides 4131 without a remainder.

1, 2, 3, 6, 691, 1382, 2073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4131 and 4146. The biggest common factor number is the GCF number.
So the greatest common factor 4131 and 4146 is 3.

Also check out the Least Common Multiple of 4131 and 4146