What is the Greatest Common Factor of 28245 and 28259?

Greatest common factor (GCF) of 28245 and 28259 is 7.

GCF(28245,28259) = 7

We will now calculate the prime factors of 28245 and 28259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28245 and 28259.

How to find the GCF of 28245 and 28259?

We will first find the prime factorization of 28245 and 28259. After we will calculate the factors of 28245 and 28259 and find the biggest common factor number .

Step-1: Prime Factorization of 28245

Prime factors of 28245 are 3, 5, 7, 269. Prime factorization of 28245 in exponential form is:

28245 = 3¹ × 5¹ × 7¹ × 269¹

Step-2: 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-3: Factors of 28245

List of positive integer factors of 28245 that divides 28245 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 269, 807, 1345, 1883, 4035, 5649, 9415

Step-4: Factors of 28259

List of positive integer factors of 28259 that divides 28245 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28245 and 28259. The biggest common factor number is the GCF number.
So the greatest common factor 28245 and 28259 is 7.

Also check out the Least Common Multiple of 28245 and 28259