What is the Greatest Common Factor of 4119 and 4131?

Greatest common factor (GCF) of 4119 and 4131 is 3.

GCF(4119,4131) = 3

We will now calculate the prime factors of 4119 and 4131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4119 and 4131.

How to find the GCF of 4119 and 4131?

We will first find the prime factorization of 4119 and 4131. After we will calculate the factors of 4119 and 4131 and find the biggest common factor number .

Step-1: Prime Factorization of 4119

Prime factors of 4119 are 3, 1373. Prime factorization of 4119 in exponential form is:

4119 = 3¹ × 1373¹

Step-2: Prime Factorization of 4131

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

4131 = 3⁵ × 17¹

Step-3: Factors of 4119

List of positive integer factors of 4119 that divides 4119 without a remainder.

1, 3, 1373

Step-4: Factors of 4131

List of positive integer factors of 4131 that divides 4119 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4119 and 4131. The biggest common factor number is the GCF number.
So the greatest common factor 4119 and 4131 is 3.

Also check out the Least Common Multiple of 4119 and 4131