What is the Greatest Common Factor of 28259 and 28266?

Greatest common factor (GCF) of 28259 and 28266 is 7.

GCF(28259,28266) = 7

We will now calculate the prime factors of 28259 and 28266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28259 and 28266.

How to find the GCF of 28259 and 28266?

We will first find the prime factorization of 28259 and 28266. After we will calculate the factors of 28259 and 28266 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 28266

Prime factors of 28266 are 2, 3, 7, 673. Prime factorization of 28266 in exponential form is:

28266 = 2¹ × 3¹ × 7¹ × 673¹

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 28266

List of positive integer factors of 28266 that divides 28259 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 673, 1346, 2019, 4038, 4711, 9422, 14133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28259 and 28266. The biggest common factor number is the GCF number.
So the greatest common factor 28259 and 28266 is 7.

Also check out the Least Common Multiple of 28259 and 28266