What is the Greatest Common Factor of 69309 and 69323?

Greatest common factor (GCF) of 69309 and 69323 is 1.

GCF(69309,69323) = 1

We will now calculate the prime factors of 69309 and 69323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69309 and 69323.

How to find the GCF of 69309 and 69323?

We will first find the prime factorization of 69309 and 69323. After we will calculate the factors of 69309 and 69323 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 69323

Prime factors of 69323 are 181, 383. Prime factorization of 69323 in exponential form is:

69323 = 181¹ × 383¹

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 69323

List of positive integer factors of 69323 that divides 69309 without a remainder.

1, 181, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69309 and 69323. The biggest common factor number is the GCF number.
So the greatest common factor 69309 and 69323 is 1.

Also check out the Least Common Multiple of 69309 and 69323