What is the Greatest Common Factor of 69309 and 69326?

Greatest common factor (GCF) of 69309 and 69326 is 17.

GCF(69309,69326) = 17

We will now calculate the prime factors of 69309 and 69326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69309 and 69326.

How to find the GCF of 69309 and 69326?

We will first find the prime factorization of 69309 and 69326. After we will calculate the factors of 69309 and 69326 and find the biggest common factor number .

Step-1: Prime Factorization of 69309

Prime factors of 69309 are 3, 17, 151. Prime factorization of 69309 in exponential form is:

69309 = 3³ × 17¹ × 151¹

Step-2: Prime Factorization of 69326

Prime factors of 69326 are 2, 17, 2039. Prime factorization of 69326 in exponential form is:

69326 = 2¹ × 17¹ × 2039¹

Step-3: Factors of 69309

List of positive integer factors of 69309 that divides 69309 without a remainder.

1, 3, 9, 17, 27, 51, 151, 153, 453, 459, 1359, 2567, 4077, 7701, 23103

Step-4: Factors of 69326

List of positive integer factors of 69326 that divides 69309 without a remainder.

1, 2, 17, 34, 2039, 4078, 34663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69309 and 69326. The biggest common factor number is the GCF number.
So the greatest common factor 69309 and 69326 is 17.

Also check out the Least Common Multiple of 69309 and 69326