What is the Greatest Common Factor of 51312 and 51320?

Greatest common factor (GCF) of 51312 and 51320 is 8.

GCF(51312,51320) = 8

We will now calculate the prime factors of 51312 and 51320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51312 and 51320.

How to find the GCF of 51312 and 51320?

We will first find the prime factorization of 51312 and 51320. After we will calculate the factors of 51312 and 51320 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 51320

Prime factors of 51320 are 2, 5, 1283. Prime factorization of 51320 in exponential form is:

51320 = 2³ × 5¹ × 1283¹

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 51320

List of positive integer factors of 51320 that divides 51312 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1283, 2566, 5132, 6415, 10264, 12830, 25660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51312 and 51320. The biggest common factor number is the GCF number.
So the greatest common factor 51312 and 51320 is 8.

Also check out the Least Common Multiple of 51312 and 51320