What is the Greatest Common Factor of 4095 and 4108?

Greatest common factor (GCF) of 4095 and 4108 is 13.

GCF(4095,4108) = 13

We will now calculate the prime factors of 4095 and 4108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4095 and 4108.

How to find the GCF of 4095 and 4108?

We will first find the prime factorization of 4095 and 4108. After we will calculate the factors of 4095 and 4108 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 4108

Prime factors of 4108 are 2, 13, 79. Prime factorization of 4108 in exponential form is:

4108 = 2² × 13¹ × 79¹

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 4108

List of positive integer factors of 4108 that divides 4095 without a remainder.

1, 2, 4, 13, 26, 52, 79, 158, 316, 1027, 2054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4095 and 4108. The biggest common factor number is the GCF number.
So the greatest common factor 4095 and 4108 is 13.

Also check out the Least Common Multiple of 4095 and 4108