What is the Greatest Common Factor of 51312 and 51328?

Greatest common factor (GCF) of 51312 and 51328 is 16.

GCF(51312,51328) = 16

We will now calculate the prime factors of 51312 and 51328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51312 and 51328.

How to find the GCF of 51312 and 51328?

We will first find the prime factorization of 51312 and 51328. After we will calculate the factors of 51312 and 51328 and find the biggest common factor number .

Step-1: Prime Factorization of 51312

Prime factors of 51312 are 2, 3, 1069. Prime factorization of 51312 in exponential form is:

51312 = 2⁴ × 3¹ × 1069¹

Step-2: Prime Factorization of 51328

Prime factors of 51328 are 2, 401. Prime factorization of 51328 in exponential form is:

51328 = 2⁷ × 401¹

Step-3: Factors of 51312

List of positive integer factors of 51312 that divides 51312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1069, 2138, 3207, 4276, 6414, 8552, 12828, 17104, 25656

Step-4: Factors of 51328

List of positive integer factors of 51328 that divides 51312 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 401, 802, 1604, 3208, 6416, 12832, 25664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51312 and 51328. The biggest common factor number is the GCF number.
So the greatest common factor 51312 and 51328 is 16.

Also check out the Least Common Multiple of 51312 and 51328