What is the Greatest Common Factor of 8092 and 8109?

Greatest common factor (GCF) of 8092 and 8109 is 17.

GCF(8092,8109) = 17

We will now calculate the prime factors of 8092 and 8109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8092 and 8109.

How to find the GCF of 8092 and 8109?

We will first find the prime factorization of 8092 and 8109. After we will calculate the factors of 8092 and 8109 and find the biggest common factor number .

Step-1: Prime Factorization of 8092

Prime factors of 8092 are 2, 7, 17. Prime factorization of 8092 in exponential form is:

8092 = 2² × 7¹ × 17²

Step-2: 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-3: Factors of 8092

List of positive integer factors of 8092 that divides 8092 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046

Step-4: Factors of 8109

List of positive integer factors of 8109 that divides 8092 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8092 and 8109. The biggest common factor number is the GCF number.
So the greatest common factor 8092 and 8109 is 17.

Also check out the Least Common Multiple of 8092 and 8109