What is the Greatest Common Factor of 69333 and 69339?

Greatest common factor (GCF) of 69333 and 69339 is 3.

GCF(69333,69339) = 3

We will now calculate the prime factors of 69333 and 69339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69333 and 69339.

How to find the GCF of 69333 and 69339?

We will first find the prime factorization of 69333 and 69339. After we will calculate the factors of 69333 and 69339 and find the biggest common factor number .

Step-1: Prime Factorization of 69333

Prime factors of 69333 are 3, 11, 191. Prime factorization of 69333 in exponential form is:

69333 = 3¹ × 11² × 191¹

Step-2: Prime Factorization of 69339

Prime factors of 69339 are 3, 29, 797. Prime factorization of 69339 in exponential form is:

69339 = 3¹ × 29¹ × 797¹

Step-3: Factors of 69333

List of positive integer factors of 69333 that divides 69333 without a remainder.

1, 3, 11, 33, 121, 191, 363, 573, 2101, 6303, 23111

Step-4: Factors of 69339

List of positive integer factors of 69339 that divides 69333 without a remainder.

1, 3, 29, 87, 797, 2391, 23113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69333 and 69339. The biggest common factor number is the GCF number.
So the greatest common factor 69333 and 69339 is 3.

Also check out the Least Common Multiple of 69333 and 69339