What is the Greatest Common Factor of 22175 and 22185?

Greatest common factor (GCF) of 22175 and 22185 is 5.

GCF(22175,22185) = 5

We will now calculate the prime factors of 22175 and 22185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22175 and 22185.

How to find the GCF of 22175 and 22185?

We will first find the prime factorization of 22175 and 22185. After we will calculate the factors of 22175 and 22185 and find the biggest common factor number .

Step-1: Prime Factorization of 22175

Prime factors of 22175 are 5, 887. Prime factorization of 22175 in exponential form is:

22175 = 5² × 887¹

Step-2: Prime Factorization of 22185

Prime factors of 22185 are 3, 5, 17, 29. Prime factorization of 22185 in exponential form is:

22185 = 3² × 5¹ × 17¹ × 29¹

Step-3: Factors of 22175

List of positive integer factors of 22175 that divides 22175 without a remainder.

1, 5, 25, 887, 4435

Step-4: Factors of 22185

List of positive integer factors of 22185 that divides 22175 without a remainder.

1, 3, 5, 9, 15, 17, 29, 45, 51, 85, 87, 145, 153, 255, 261, 435, 493, 765, 1305, 1479, 2465, 4437, 7395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22175 and 22185. The biggest common factor number is the GCF number.
So the greatest common factor 22175 and 22185 is 5.

Also check out the Least Common Multiple of 22175 and 22185