What is the Greatest Common Factor of 69315 and 69321?

Greatest common factor (GCF) of 69315 and 69321 is 3.

GCF(69315,69321) = 3

We will now calculate the prime factors of 69315 and 69321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69315 and 69321.

How to find the GCF of 69315 and 69321?

We will first find the prime factorization of 69315 and 69321. After we will calculate the factors of 69315 and 69321 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 69321

Prime factors of 69321 are 3, 7, 3301. Prime factorization of 69321 in exponential form is:

69321 = 3¹ × 7¹ × 3301¹

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 69321

List of positive integer factors of 69321 that divides 69315 without a remainder.

1, 3, 7, 21, 3301, 9903, 23107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69315 and 69321. The biggest common factor number is the GCF number.
So the greatest common factor 69315 and 69321 is 3.

Also check out the Least Common Multiple of 69315 and 69321