What is the Greatest Common Factor of 69084 and 69096?

Greatest common factor (GCF) of 69084 and 69096 is 12.

GCF(69084,69096) = 12

We will now calculate the prime factors of 69084 and 69096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69084 and 69096.

How to find the GCF of 69084 and 69096?

We will first find the prime factorization of 69084 and 69096. After we will calculate the factors of 69084 and 69096 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69096

Prime factors of 69096 are 2, 3, 2879. Prime factorization of 69096 in exponential form is:

69096 = 2³ × 3¹ × 2879¹

Step-3: Factors of 69084

List of positive integer factors of 69084 that divides 69084 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

Step-4: Factors of 69096

List of positive integer factors of 69096 that divides 69084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2879, 5758, 8637, 11516, 17274, 23032, 34548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69084 and 69096. The biggest common factor number is the GCF number.
So the greatest common factor 69084 and 69096 is 12.

Also check out the Least Common Multiple of 69084 and 69096