What is the Greatest Common Factor of 4095 and 4101?

Greatest common factor (GCF) of 4095 and 4101 is 3.

GCF(4095,4101) = 3

We will now calculate the prime factors of 4095 and 4101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4095 and 4101.

How to find the GCF of 4095 and 4101?

We will first find the prime factorization of 4095 and 4101. After we will calculate the factors of 4095 and 4101 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 4101

Prime factors of 4101 are 3, 1367. Prime factorization of 4101 in exponential form is:

4101 = 3¹ × 1367¹

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 4101

List of positive integer factors of 4101 that divides 4095 without a remainder.

1, 3, 1367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4095 and 4101. The biggest common factor number is the GCF number.
So the greatest common factor 4095 and 4101 is 3.

Also check out the Least Common Multiple of 4095 and 4101