What is the Greatest Common Factor of 51096 and 51108?

Greatest common factor (GCF) of 51096 and 51108 is 12.

GCF(51096,51108) = 12

We will now calculate the prime factors of 51096 and 51108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51096 and 51108.

How to find the GCF of 51096 and 51108?

We will first find the prime factorization of 51096 and 51108. After we will calculate the factors of 51096 and 51108 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 51108

Prime factors of 51108 are 2, 3, 4259. Prime factorization of 51108 in exponential form is:

51108 = 2² × 3¹ × 4259¹

Step-3: Factors of 51096

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

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

Step-4: Factors of 51108

List of positive integer factors of 51108 that divides 51096 without a remainder.

1, 2, 3, 4, 6, 12, 4259, 8518, 12777, 17036, 25554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51096 and 51108. The biggest common factor number is the GCF number.
So the greatest common factor 51096 and 51108 is 12.

Also check out the Least Common Multiple of 51096 and 51108