What is the Greatest Common Factor of 69165 and 69180?

Greatest common factor (GCF) of 69165 and 69180 is 15.

GCF(69165,69180) = 15

We will now calculate the prime factors of 69165 and 69180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69165 and 69180.

How to find the GCF of 69165 and 69180?

We will first find the prime factorization of 69165 and 69180. After we will calculate the factors of 69165 and 69180 and find the biggest common factor number .

Step-1: Prime Factorization of 69165

Prime factors of 69165 are 3, 5, 29, 53. Prime factorization of 69165 in exponential form is:

69165 = 3² × 5¹ × 29¹ × 53¹

Step-2: Prime Factorization of 69180

Prime factors of 69180 are 2, 3, 5, 1153. Prime factorization of 69180 in exponential form is:

69180 = 2² × 3¹ × 5¹ × 1153¹

Step-3: Factors of 69165

List of positive integer factors of 69165 that divides 69165 without a remainder.

1, 3, 5, 9, 15, 29, 45, 53, 87, 145, 159, 261, 265, 435, 477, 795, 1305, 1537, 2385, 4611, 7685, 13833, 23055

Step-4: Factors of 69180

List of positive integer factors of 69180 that divides 69165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1153, 2306, 3459, 4612, 5765, 6918, 11530, 13836, 17295, 23060, 34590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69165 and 69180. The biggest common factor number is the GCF number.
So the greatest common factor 69165 and 69180 is 15.

Also check out the Least Common Multiple of 69165 and 69180