What is the Greatest Common Factor of 51084 and 51096?

Greatest common factor (GCF) of 51084 and 51096 is 12.

GCF(51084,51096) = 12

We will now calculate the prime factors of 51084 and 51096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51084 and 51096.

How to find the GCF of 51084 and 51096?

We will first find the prime factorization of 51084 and 51096. After we will calculate the factors of 51084 and 51096 and find the biggest common factor number .

Step-1: Prime Factorization of 51084

Prime factors of 51084 are 2, 3, 11, 43. Prime factorization of 51084 in exponential form is:

51084 = 2² × 3³ × 11¹ × 43¹

Step-2: Prime Factorization of 51096

Prime factors of 51096 are 2, 3, 2129. Prime factorization of 51096 in exponential form is:

51096 = 2³ × 3¹ × 2129¹

Step-3: Factors of 51084

List of positive integer factors of 51084 that divides 51084 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 43, 44, 54, 66, 86, 99, 108, 129, 132, 172, 198, 258, 297, 387, 396, 473, 516, 594, 774, 946, 1161, 1188, 1419, 1548, 1892, 2322, 2838, 4257, 4644, 5676, 8514, 12771, 17028, 25542

Step-4: Factors of 51096

List of positive integer factors of 51096 that divides 51084 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2129, 4258, 6387, 8516, 12774, 17032, 25548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51084 and 51096. The biggest common factor number is the GCF number.
So the greatest common factor 51084 and 51096 is 12.

Also check out the Least Common Multiple of 51084 and 51096