What is the Greatest Common Factor of 21259 and 21277?

Greatest common factor (GCF) of 21259 and 21277 is 1.

GCF(21259,21277) = 1

We will now calculate the prime factors of 21259 and 21277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21259 and 21277.

How to find the GCF of 21259 and 21277?

We will first find the prime factorization of 21259 and 21277. After we will calculate the factors of 21259 and 21277 and find the biggest common factor number .

Step-1: Prime Factorization of 21259

Prime factors of 21259 are 7, 3037. Prime factorization of 21259 in exponential form is:

21259 = 7¹ × 3037¹

Step-2: Prime Factorization of 21277

Prime factors of 21277 are 21277. Prime factorization of 21277 in exponential form is:

21277 = 21277¹

Step-3: Factors of 21259

List of positive integer factors of 21259 that divides 21259 without a remainder.

1, 7, 3037

Step-4: Factors of 21277

List of positive integer factors of 21277 that divides 21259 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21259 and 21277. The biggest common factor number is the GCF number.
So the greatest common factor 21259 and 21277 is 1.

Also check out the Least Common Multiple of 21259 and 21277