What is the Greatest Common Factor of 8091 and 8103?

Greatest common factor (GCF) of 8091 and 8103 is 3.

GCF(8091,8103) = 3

We will now calculate the prime factors of 8091 and 8103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8091 and 8103.

How to find the GCF of 8091 and 8103?

We will first find the prime factorization of 8091 and 8103. After we will calculate the factors of 8091 and 8103 and find the biggest common factor number .

Step-1: Prime Factorization of 8091

Prime factors of 8091 are 3, 29, 31. Prime factorization of 8091 in exponential form is:

8091 = 3² × 29¹ × 31¹

Step-2: Prime Factorization of 8103

Prime factors of 8103 are 3, 37, 73. Prime factorization of 8103 in exponential form is:

8103 = 3¹ × 37¹ × 73¹

Step-3: Factors of 8091

List of positive integer factors of 8091 that divides 8091 without a remainder.

1, 3, 9, 29, 31, 87, 93, 261, 279, 899, 2697

Step-4: Factors of 8103

List of positive integer factors of 8103 that divides 8091 without a remainder.

1, 3, 37, 73, 111, 219, 2701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8091 and 8103. The biggest common factor number is the GCF number.
So the greatest common factor 8091 and 8103 is 3.

Also check out the Least Common Multiple of 8091 and 8103