What is the Greatest Common Factor of 21275 and 21281?

Greatest common factor (GCF) of 21275 and 21281 is 1.

GCF(21275,21281) = 1

We will now calculate the prime factors of 21275 and 21281, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21275 and 21281.

How to find the GCF of 21275 and 21281?

We will first find the prime factorization of 21275 and 21281. After we will calculate the factors of 21275 and 21281 and find the biggest common factor number .

Step-1: Prime Factorization of 21275

Prime factors of 21275 are 5, 23, 37. Prime factorization of 21275 in exponential form is:

21275 = 5² × 23¹ × 37¹

Step-2: Prime Factorization of 21281

Prime factors of 21281 are 13, 1637. Prime factorization of 21281 in exponential form is:

21281 = 13¹ × 1637¹

Step-3: Factors of 21275

List of positive integer factors of 21275 that divides 21275 without a remainder.

1, 5, 23, 25, 37, 115, 185, 575, 851, 925, 4255

Step-4: Factors of 21281

List of positive integer factors of 21281 that divides 21275 without a remainder.

1, 13, 1637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21275 and 21281. The biggest common factor number is the GCF number.
So the greatest common factor 21275 and 21281 is 1.

Also check out the Least Common Multiple of 21275 and 21281