What is the Greatest Common Factor of 51280 and 51289?

Greatest common factor (GCF) of 51280 and 51289 is 1.

GCF(51280,51289) = 1

We will now calculate the prime factors of 51280 and 51289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51280 and 51289.

How to find the GCF of 51280 and 51289?

We will first find the prime factorization of 51280 and 51289. After we will calculate the factors of 51280 and 51289 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 51289

Prime factors of 51289 are 7, 17, 431. Prime factorization of 51289 in exponential form is:

51289 = 7¹ × 17¹ × 431¹

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 51289

List of positive integer factors of 51289 that divides 51280 without a remainder.

1, 7, 17, 119, 431, 3017, 7327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51280 and 51289. The biggest common factor number is the GCF number.
So the greatest common factor 51280 and 51289 is 1.

Also check out the Least Common Multiple of 51280 and 51289