What is the Greatest Common Factor of 28185 and 28197?

Greatest common factor (GCF) of 28185 and 28197 is 3.

GCF(28185,28197) = 3

We will now calculate the prime factors of 28185 and 28197, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28185 and 28197.

How to find the GCF of 28185 and 28197?

We will first find the prime factorization of 28185 and 28197. After we will calculate the factors of 28185 and 28197 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 28197

Prime factors of 28197 are 3, 13, 241. Prime factorization of 28197 in exponential form is:

28197 = 3² × 13¹ × 241¹

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 28197

List of positive integer factors of 28197 that divides 28185 without a remainder.

1, 3, 9, 13, 39, 117, 241, 723, 2169, 3133, 9399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28185 and 28197. The biggest common factor number is the GCF number.
So the greatest common factor 28185 and 28197 is 3.

Also check out the Least Common Multiple of 28185 and 28197