What is the Greatest Common Factor of 22165 and 22175?

Greatest common factor (GCF) of 22165 and 22175 is 5.

GCF(22165,22175) = 5

We will now calculate the prime factors of 22165 and 22175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22165 and 22175.

How to find the GCF of 22165 and 22175?

We will first find the prime factorization of 22165 and 22175. After we will calculate the factors of 22165 and 22175 and find the biggest common factor number .

Step-1: Prime Factorization of 22165

Prime factors of 22165 are 5, 11, 13, 31. Prime factorization of 22165 in exponential form is:

22165 = 5¹ × 11¹ × 13¹ × 31¹

Step-2: Prime Factorization of 22175

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

22175 = 5² × 887¹

Step-3: Factors of 22165

List of positive integer factors of 22165 that divides 22165 without a remainder.

1, 5, 11, 13, 31, 55, 65, 143, 155, 341, 403, 715, 1705, 2015, 4433

Step-4: Factors of 22175

List of positive integer factors of 22175 that divides 22165 without a remainder.

1, 5, 25, 887, 4435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22165 and 22175. The biggest common factor number is the GCF number.
So the greatest common factor 22165 and 22175 is 5.

Also check out the Least Common Multiple of 22165 and 22175