What is the Greatest Common Factor of 8102 and 8109?

Greatest common factor (GCF) of 8102 and 8109 is 1.

GCF(8102,8109) = 1

We will now calculate the prime factors of 8102 and 8109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8102 and 8109.

How to find the GCF of 8102 and 8109?

We will first find the prime factorization of 8102 and 8109. After we will calculate the factors of 8102 and 8109 and find the biggest common factor number .

Step-1: Prime Factorization of 8102

Prime factors of 8102 are 2, 4051. Prime factorization of 8102 in exponential form is:

8102 = 2¹ × 4051¹

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 8102

List of positive integer factors of 8102 that divides 8102 without a remainder.

1, 2, 4051

Step-4: Factors of 8109

List of positive integer factors of 8109 that divides 8102 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 8102 and 8109. The biggest common factor number is the GCF number.
So the greatest common factor 8102 and 8109 is 1.

Also check out the Least Common Multiple of 8102 and 8109