What is the Greatest Common Factor of 4131 and 4149?

Greatest common factor (GCF) of 4131 and 4149 is 9.

GCF(4131,4149) = 9

We will now calculate the prime factors of 4131 and 4149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4131 and 4149.

How to find the GCF of 4131 and 4149?

We will first find the prime factorization of 4131 and 4149. After we will calculate the factors of 4131 and 4149 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 4149

Prime factors of 4149 are 3, 461. Prime factorization of 4149 in exponential form is:

4149 = 3² × 461¹

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 4149

List of positive integer factors of 4149 that divides 4131 without a remainder.

1, 3, 9, 461, 1383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4131 and 4149. The biggest common factor number is the GCF number.
So the greatest common factor 4131 and 4149 is 9.

Also check out the Least Common Multiple of 4131 and 4149