What is the Greatest Common Factor of 51280 and 51296?

Greatest common factor (GCF) of 51280 and 51296 is 16.

GCF(51280,51296) = 16

We will now calculate the prime factors of 51280 and 51296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51280 and 51296.

How to find the GCF of 51280 and 51296?

We will first find the prime factorization of 51280 and 51296. After we will calculate the factors of 51280 and 51296 and find the biggest common factor number .

Step-1: Prime Factorization of 51280

Prime factors of 51280 are 2, 5, 641. Prime factorization of 51280 in exponential form is:

51280 = 2⁴ × 5¹ × 641¹

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 51280

List of positive integer factors of 51280 that divides 51280 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 641, 1282, 2564, 3205, 5128, 6410, 10256, 12820, 25640

Step-4: Factors of 51296

List of positive integer factors of 51296 that divides 51280 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 51280 and 51296. The biggest common factor number is the GCF number.
So the greatest common factor 51280 and 51296 is 16.

Also check out the Least Common Multiple of 51280 and 51296