What is the Greatest Common Factor of 69315 and 69333?

Greatest common factor (GCF) of 69315 and 69333 is 3.

GCF(69315,69333) = 3

We will now calculate the prime factors of 69315 and 69333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69315 and 69333.

How to find the GCF of 69315 and 69333?

We will first find the prime factorization of 69315 and 69333. After we will calculate the factors of 69315 and 69333 and find the biggest common factor number .

Step-1: Prime Factorization of 69315

Prime factors of 69315 are 3, 5, 4621. Prime factorization of 69315 in exponential form is:

69315 = 3¹ × 5¹ × 4621¹

Step-2: 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-3: Factors of 69315

List of positive integer factors of 69315 that divides 69315 without a remainder.

1, 3, 5, 15, 4621, 13863, 23105

Step-4: Factors of 69333

List of positive integer factors of 69333 that divides 69315 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69315 and 69333. The biggest common factor number is the GCF number.
So the greatest common factor 69315 and 69333 is 3.

Also check out the Least Common Multiple of 69315 and 69333