What is the Greatest Common Factor of 28185 and 28195?

Greatest common factor (GCF) of 28185 and 28195 is 5.

GCF(28185,28195) = 5

We will now calculate the prime factors of 28185 and 28195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28185 and 28195.

How to find the GCF of 28185 and 28195?

We will first find the prime factorization of 28185 and 28195. After we will calculate the factors of 28185 and 28195 and find the biggest common factor number .

Step-1: Prime Factorization of 28185

Prime factors of 28185 are 3, 5, 1879. Prime factorization of 28185 in exponential form is:

28185 = 3¹ × 5¹ × 1879¹

Step-2: Prime Factorization of 28195

Prime factors of 28195 are 5, 5639. Prime factorization of 28195 in exponential form is:

28195 = 5¹ × 5639¹

Step-3: Factors of 28185

List of positive integer factors of 28185 that divides 28185 without a remainder.

1, 3, 5, 15, 1879, 5637, 9395

Step-4: Factors of 28195

List of positive integer factors of 28195 that divides 28185 without a remainder.

1, 5, 5639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28185 and 28195. The biggest common factor number is the GCF number.
So the greatest common factor 28185 and 28195 is 5.

Also check out the Least Common Multiple of 28185 and 28195