What is the Greatest Common Factor of 28385 and 28405?

Greatest common factor (GCF) of 28385 and 28405 is 5.

GCF(28385,28405) = 5

We will now calculate the prime factors of 28385 and 28405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28385 and 28405.

How to find the GCF of 28385 and 28405?

We will first find the prime factorization of 28385 and 28405. After we will calculate the factors of 28385 and 28405 and find the biggest common factor number .

Step-1: Prime Factorization of 28385

Prime factors of 28385 are 5, 7, 811. Prime factorization of 28385 in exponential form is:

28385 = 5¹ × 7¹ × 811¹

Step-2: 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-3: Factors of 28385

List of positive integer factors of 28385 that divides 28385 without a remainder.

1, 5, 7, 35, 811, 4055, 5677

Step-4: Factors of 28405

List of positive integer factors of 28405 that divides 28385 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28385 and 28405. The biggest common factor number is the GCF number.
So the greatest common factor 28385 and 28405 is 5.

Also check out the Least Common Multiple of 28385 and 28405