What is the Greatest Common Factor of 69306 and 69315?

Greatest common factor (GCF) of 69306 and 69315 is 3.

GCF(69306,69315) = 3

We will now calculate the prime factors of 69306 and 69315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69306 and 69315.

How to find the GCF of 69306 and 69315?

We will first find the prime factorization of 69306 and 69315. After we will calculate the factors of 69306 and 69315 and find the biggest common factor number .

Step-1: Prime Factorization of 69306

Prime factors of 69306 are 2, 3, 11551. Prime factorization of 69306 in exponential form is:

69306 = 2¹ × 3¹ × 11551¹

Step-2: 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-3: Factors of 69306

List of positive integer factors of 69306 that divides 69306 without a remainder.

1, 2, 3, 6, 11551, 23102, 34653

Step-4: Factors of 69315

List of positive integer factors of 69315 that divides 69306 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69306 and 69315. The biggest common factor number is the GCF number.
So the greatest common factor 69306 and 69315 is 3.

Also check out the Least Common Multiple of 69306 and 69315