What is the Greatest Common Factor of 69180 and 69192?

Greatest common factor (GCF) of 69180 and 69192 is 12.

GCF(69180,69192) = 12

We will now calculate the prime factors of 69180 and 69192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69180 and 69192.

How to find the GCF of 69180 and 69192?

We will first find the prime factorization of 69180 and 69192. After we will calculate the factors of 69180 and 69192 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69192

Prime factors of 69192 are 2, 3, 31. Prime factorization of 69192 in exponential form is:

69192 = 2³ × 3² × 31²

Step-3: Factors of 69180

List of positive integer factors of 69180 that divides 69180 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

Step-4: Factors of 69192

List of positive integer factors of 69192 that divides 69180 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 31, 36, 62, 72, 93, 124, 186, 248, 279, 372, 558, 744, 961, 1116, 1922, 2232, 2883, 3844, 5766, 7688, 8649, 11532, 17298, 23064, 34596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69180 and 69192. The biggest common factor number is the GCF number.
So the greatest common factor 69180 and 69192 is 12.

Also check out the Least Common Multiple of 69180 and 69192