What is the Greatest Common Factor of 8109 and 8114?

Greatest common factor (GCF) of 8109 and 8114 is 1.

GCF(8109,8114) = 1

We will now calculate the prime factors of 8109 and 8114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8109 and 8114.

How to find the GCF of 8109 and 8114?

We will first find the prime factorization of 8109 and 8114. After we will calculate the factors of 8109 and 8114 and find the biggest common factor number .

Step-1: Prime Factorization of 8109

Prime factors of 8109 are 3, 17, 53. Prime factorization of 8109 in exponential form is:

8109 = 3² × 17¹ × 53¹

Step-2: Prime Factorization of 8114

Prime factors of 8114 are 2, 4057. Prime factorization of 8114 in exponential form is:

8114 = 2¹ × 4057¹

Step-3: Factors of 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703

Step-4: Factors of 8114

List of positive integer factors of 8114 that divides 8109 without a remainder.

1, 2, 4057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8109 and 8114. The biggest common factor number is the GCF number.
So the greatest common factor 8109 and 8114 is 1.

Also check out the Least Common Multiple of 8109 and 8114