What is the Greatest Common Factor of 28405 and 28425?

Greatest common factor (GCF) of 28405 and 28425 is 5.

GCF(28405,28425) = 5

We will now calculate the prime factors of 28405 and 28425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28405 and 28425.

How to find the GCF of 28405 and 28425?

We will first find the prime factorization of 28405 and 28425. After we will calculate the factors of 28405 and 28425 and find the biggest common factor number .

Step-1: Prime Factorization of 28405

Prime factors of 28405 are 5, 13, 19, 23. Prime factorization of 28405 in exponential form is:

28405 = 5¹ × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 28425

Prime factors of 28425 are 3, 5, 379. Prime factorization of 28425 in exponential form is:

28425 = 3¹ × 5² × 379¹

Step-3: Factors of 28405

List of positive integer factors of 28405 that divides 28405 without a remainder.

1, 5, 13, 19, 23, 65, 95, 115, 247, 299, 437, 1235, 1495, 2185, 5681

Step-4: Factors of 28425

List of positive integer factors of 28425 that divides 28405 without a remainder.

1, 3, 5, 15, 25, 75, 379, 1137, 1895, 5685, 9475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28405 and 28425. The biggest common factor number is the GCF number.
So the greatest common factor 28405 and 28425 is 5.

Also check out the Least Common Multiple of 28405 and 28425