What is the Greatest Common Factor of 4095 and 4110?

Greatest common factor (GCF) of 4095 and 4110 is 15.

GCF(4095,4110) = 15

We will now calculate the prime factors of 4095 and 4110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4095 and 4110.

How to find the GCF of 4095 and 4110?

We will first find the prime factorization of 4095 and 4110. After we will calculate the factors of 4095 and 4110 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 4110

Prime factors of 4110 are 2, 3, 5, 137. Prime factorization of 4110 in exponential form is:

4110 = 2¹ × 3¹ × 5¹ × 137¹

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 4110

List of positive integer factors of 4110 that divides 4095 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 137, 274, 411, 685, 822, 1370, 2055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4095 and 4110. The biggest common factor number is the GCF number.
So the greatest common factor 4095 and 4110 is 15.

Also check out the Least Common Multiple of 4095 and 4110