What is the Greatest Common Factor of 4095 and 4107?

Greatest common factor (GCF) of 4095 and 4107 is 3.

GCF(4095,4107) = 3

We will now calculate the prime factors of 4095 and 4107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4095 and 4107.

How to find the GCF of 4095 and 4107?

We will first find the prime factorization of 4095 and 4107. After we will calculate the factors of 4095 and 4107 and find the biggest common factor number .

Step-1: Prime Factorization of 4095

Prime factors of 4095 are 3, 5, 7, 13. Prime factorization of 4095 in exponential form is:

4095 = 3² × 5¹ × 7¹ × 13¹

Step-2: Prime Factorization of 4107

Prime factors of 4107 are 3, 37. Prime factorization of 4107 in exponential form is:

4107 = 3¹ × 37²

Step-3: Factors of 4095

List of positive integer factors of 4095 that divides 4095 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 63, 65, 91, 105, 117, 195, 273, 315, 455, 585, 819, 1365

Step-4: Factors of 4107

List of positive integer factors of 4107 that divides 4095 without a remainder.

1, 3, 37, 111, 1369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4095 and 4107. The biggest common factor number is the GCF number.
So the greatest common factor 4095 and 4107 is 3.

Also check out the Least Common Multiple of 4095 and 4107