What is the Greatest Common Factor of 20275 and 20281?

Greatest common factor (GCF) of 20275 and 20281 is 1.

GCF(20275,20281) = 1

We will now calculate the prime factors of 20275 and 20281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20275 and 20281.

How to find the GCF of 20275 and 20281?

We will first find the prime factorization of 20275 and 20281. After we will calculate the factors of 20275 and 20281 and find the biggest common factor number .

Step-1: Prime Factorization of 20275

Prime factors of 20275 are 5, 811. Prime factorization of 20275 in exponential form is:

20275 = 5² × 811¹

Step-2: Prime Factorization of 20281

Prime factors of 20281 are 17, 1193. Prime factorization of 20281 in exponential form is:

20281 = 17¹ × 1193¹

Step-3: Factors of 20275

List of positive integer factors of 20275 that divides 20275 without a remainder.

1, 5, 25, 811, 4055

Step-4: Factors of 20281

List of positive integer factors of 20281 that divides 20275 without a remainder.

1, 17, 1193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20275 and 20281. The biggest common factor number is the GCF number.
So the greatest common factor 20275 and 20281 is 1.

Also check out the Least Common Multiple of 20275 and 20281