What is the Greatest Common Factor of 28259 and 28277?

Greatest common factor (GCF) of 28259 and 28277 is 1.

GCF(28259,28277) = 1

We will now calculate the prime factors of 28259 and 28277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28259 and 28277.

How to find the GCF of 28259 and 28277?

We will first find the prime factorization of 28259 and 28277. After we will calculate the factors of 28259 and 28277 and find the biggest common factor number .

Step-1: Prime Factorization of 28259

Prime factors of 28259 are 7, 11, 367. Prime factorization of 28259 in exponential form is:

28259 = 7¹ × 11¹ × 367¹

Step-2: Prime Factorization of 28277

Prime factors of 28277 are 28277. Prime factorization of 28277 in exponential form is:

28277 = 28277¹

Step-3: Factors of 28259

List of positive integer factors of 28259 that divides 28259 without a remainder.

1, 7, 11, 77, 367, 2569, 4037

Step-4: Factors of 28277

List of positive integer factors of 28277 that divides 28259 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28259 and 28277. The biggest common factor number is the GCF number.
So the greatest common factor 28259 and 28277 is 1.

Also check out the Least Common Multiple of 28259 and 28277