What is the Greatest Common Factor of 69309 and 69324?

Greatest common factor (GCF) of 69309 and 69324 is 3.

GCF(69309,69324) = 3

We will now calculate the prime factors of 69309 and 69324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69309 and 69324.

How to find the GCF of 69309 and 69324?

We will first find the prime factorization of 69309 and 69324. After we will calculate the factors of 69309 and 69324 and find the biggest common factor number .

Step-1: Prime Factorization of 69309

Prime factors of 69309 are 3, 17, 151. Prime factorization of 69309 in exponential form is:

69309 = 3³ × 17¹ × 151¹

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 69309

List of positive integer factors of 69309 that divides 69309 without a remainder.

1, 3, 9, 17, 27, 51, 151, 153, 453, 459, 1359, 2567, 4077, 7701, 23103

Step-4: Factors of 69324

List of positive integer factors of 69324 that divides 69309 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 69309 and 69324. The biggest common factor number is the GCF number.
So the greatest common factor 69309 and 69324 is 3.

Also check out the Least Common Multiple of 69309 and 69324