What is the Greatest Common Factor of 51275 and 51280?

Greatest common factor (GCF) of 51275 and 51280 is 5.

GCF(51275,51280) = 5

We will now calculate the prime factors of 51275 and 51280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51275 and 51280.

How to find the GCF of 51275 and 51280?

We will first find the prime factorization of 51275 and 51280. After we will calculate the factors of 51275 and 51280 and find the biggest common factor number .

Step-1: Prime Factorization of 51275

Prime factors of 51275 are 5, 7, 293. Prime factorization of 51275 in exponential form is:

51275 = 5² × 7¹ × 293¹

Step-2: 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-3: Factors of 51275

List of positive integer factors of 51275 that divides 51275 without a remainder.

1, 5, 7, 25, 35, 175, 293, 1465, 2051, 7325, 10255

Step-4: Factors of 51280

List of positive integer factors of 51280 that divides 51275 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51275 and 51280. The biggest common factor number is the GCF number.
So the greatest common factor 51275 and 51280 is 5.

Also check out the Least Common Multiple of 51275 and 51280