What is the Greatest Common Factor of 51288 and 51296?

Greatest common factor (GCF) of 51288 and 51296 is 8.

GCF(51288,51296) = 8

We will now calculate the prime factors of 51288 and 51296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51288 and 51296.

How to find the GCF of 51288 and 51296?

We will first find the prime factorization of 51288 and 51296. After we will calculate the factors of 51288 and 51296 and find the biggest common factor number .

Step-1: Prime Factorization of 51288

Prime factors of 51288 are 2, 3, 2137. Prime factorization of 51288 in exponential form is:

51288 = 2³ × 3¹ × 2137¹

Step-2: Prime Factorization of 51296

Prime factors of 51296 are 2, 7, 229. Prime factorization of 51296 in exponential form is:

51296 = 2⁵ × 7¹ × 229¹

Step-3: Factors of 51288

List of positive integer factors of 51288 that divides 51288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2137, 4274, 6411, 8548, 12822, 17096, 25644

Step-4: Factors of 51296

List of positive integer factors of 51296 that divides 51288 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 229, 458, 916, 1603, 1832, 3206, 3664, 6412, 7328, 12824, 25648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51288 and 51296. The biggest common factor number is the GCF number.
So the greatest common factor 51288 and 51296 is 8.

Also check out the Least Common Multiple of 51288 and 51296