What is the Greatest Common Factor of 28306 and 28325?

Greatest common factor (GCF) of 28306 and 28325 is 1.

GCF(28306,28325) = 1

We will now calculate the prime factors of 28306 and 28325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28306 and 28325.

How to find the GCF of 28306 and 28325?

We will first find the prime factorization of 28306 and 28325. After we will calculate the factors of 28306 and 28325 and find the biggest common factor number .

Step-1: Prime Factorization of 28306

Prime factors of 28306 are 2, 14153. Prime factorization of 28306 in exponential form is:

28306 = 2¹ × 14153¹

Step-2: Prime Factorization of 28325

Prime factors of 28325 are 5, 11, 103. Prime factorization of 28325 in exponential form is:

28325 = 5² × 11¹ × 103¹

Step-3: Factors of 28306

List of positive integer factors of 28306 that divides 28306 without a remainder.

1, 2, 14153

Step-4: Factors of 28325

List of positive integer factors of 28325 that divides 28306 without a remainder.

1, 5, 11, 25, 55, 103, 275, 515, 1133, 2575, 5665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28306 and 28325. The biggest common factor number is the GCF number.
So the greatest common factor 28306 and 28325 is 1.

Also check out the Least Common Multiple of 28306 and 28325