What is the Greatest Common Factor of 28325 and 28340?

Greatest common factor (GCF) of 28325 and 28340 is 5.

GCF(28325,28340) = 5

We will now calculate the prime factors of 28325 and 28340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28325 and 28340.

How to find the GCF of 28325 and 28340?

We will first find the prime factorization of 28325 and 28340. After we will calculate the factors of 28325 and 28340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28340

Prime factors of 28340 are 2, 5, 13, 109. Prime factorization of 28340 in exponential form is:

28340 = 2² × 5¹ × 13¹ × 109¹

Step-3: Factors of 28325

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

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

Step-4: Factors of 28340

List of positive integer factors of 28340 that divides 28325 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 109, 130, 218, 260, 436, 545, 1090, 1417, 2180, 2834, 5668, 7085, 14170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28325 and 28340. The biggest common factor number is the GCF number.
So the greatest common factor 28325 and 28340 is 5.

Also check out the Least Common Multiple of 28325 and 28340