What is the Greatest Common Factor of 69333 and 69345?

Greatest common factor (GCF) of 69333 and 69345 is 3.

GCF(69333,69345) = 3

We will now calculate the prime factors of 69333 and 69345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69333 and 69345.

How to find the GCF of 69333 and 69345?

We will first find the prime factorization of 69333 and 69345. After we will calculate the factors of 69333 and 69345 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 69345

Prime factors of 69345 are 3, 5, 23, 67. Prime factorization of 69345 in exponential form is:

69345 = 3² × 5¹ × 23¹ × 67¹

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 69345

List of positive integer factors of 69345 that divides 69333 without a remainder.

1, 3, 5, 9, 15, 23, 45, 67, 69, 115, 201, 207, 335, 345, 603, 1005, 1035, 1541, 3015, 4623, 7705, 13869, 23115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69333 and 69345. The biggest common factor number is the GCF number.
So the greatest common factor 69333 and 69345 is 3.

Also check out the Least Common Multiple of 69333 and 69345