What is the Greatest Common Factor of 69297 and 69309?

Greatest common factor (GCF) of 69297 and 69309 is 3.

GCF(69297,69309) = 3

We will now calculate the prime factors of 69297 and 69309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69297 and 69309.

How to find the GCF of 69297 and 69309?

We will first find the prime factorization of 69297 and 69309. After we will calculate the factors of 69297 and 69309 and find the biggest common factor number .

Step-1: Prime Factorization of 69297

Prime factors of 69297 are 3, 23099. Prime factorization of 69297 in exponential form is:

69297 = 3¹ × 23099¹

Step-2: 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-3: Factors of 69297

List of positive integer factors of 69297 that divides 69297 without a remainder.

1, 3, 23099

Step-4: Factors of 69309

List of positive integer factors of 69309 that divides 69297 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69297 and 69309. The biggest common factor number is the GCF number.
So the greatest common factor 69297 and 69309 is 3.

Also check out the Least Common Multiple of 69297 and 69309