What is the Greatest Common Factor of 69066 and 69084?

Greatest common factor (GCF) of 69066 and 69084 is 18.

GCF(69066,69084) = 18

We will now calculate the prime factors of 69066 and 69084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69066 and 69084.

How to find the GCF of 69066 and 69084?

We will first find the prime factorization of 69066 and 69084. After we will calculate the factors of 69066 and 69084 and find the biggest common factor number .

Step-1: Prime Factorization of 69066

Prime factors of 69066 are 2, 3, 1279. Prime factorization of 69066 in exponential form is:

69066 = 2¹ × 3³ × 1279¹

Step-2: Prime Factorization of 69084

Prime factors of 69084 are 2, 3, 19, 101. Prime factorization of 69084 in exponential form is:

69084 = 2² × 3² × 19¹ × 101¹

Step-3: Factors of 69066

List of positive integer factors of 69066 that divides 69066 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1279, 2558, 3837, 7674, 11511, 23022, 34533

Step-4: Factors of 69084

List of positive integer factors of 69084 that divides 69066 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 101, 114, 171, 202, 228, 303, 342, 404, 606, 684, 909, 1212, 1818, 1919, 3636, 3838, 5757, 7676, 11514, 17271, 23028, 34542

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69066 and 69084. The biggest common factor number is the GCF number.
So the greatest common factor 69066 and 69084 is 18.

Also check out the Least Common Multiple of 69066 and 69084