What is the Greatest Common Factor of 69315 and 69324?

Greatest common factor (GCF) of 69315 and 69324 is 3.

GCF(69315,69324) = 3

We will now calculate the prime factors of 69315 and 69324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69315 and 69324.

How to find the GCF of 69315 and 69324?

We will first find the prime factorization of 69315 and 69324. After we will calculate the factors of 69315 and 69324 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 69324

Prime factors of 69324 are 2, 3, 53, 109. Prime factorization of 69324 in exponential form is:

69324 = 2² × 3¹ × 53¹ × 109¹

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 69324

List of positive integer factors of 69324 that divides 69315 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 109, 159, 212, 218, 318, 327, 436, 636, 654, 1308, 5777, 11554, 17331, 23108, 34662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69315 and 69324. The biggest common factor number is the GCF number.
So the greatest common factor 69315 and 69324 is 3.

Also check out the Least Common Multiple of 69315 and 69324