What is the Greatest Common Factor of 28385 and 28390?

Greatest common factor (GCF) of 28385 and 28390 is 5.

GCF(28385,28390) = 5

We will now calculate the prime factors of 28385 and 28390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28385 and 28390.

How to find the GCF of 28385 and 28390?

We will first find the prime factorization of 28385 and 28390. After we will calculate the factors of 28385 and 28390 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 28390

Prime factors of 28390 are 2, 5, 17, 167. Prime factorization of 28390 in exponential form is:

28390 = 2¹ × 5¹ × 17¹ × 167¹

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 28390

List of positive integer factors of 28390 that divides 28385 without a remainder.

1, 2, 5, 10, 17, 34, 85, 167, 170, 334, 835, 1670, 2839, 5678, 14195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28385 and 28390. The biggest common factor number is the GCF number.
So the greatest common factor 28385 and 28390 is 5.

Also check out the Least Common Multiple of 28385 and 28390