What is the Greatest Common Factor of 22160 and 22166?

Greatest common factor (GCF) of 22160 and 22166 is 2.

GCF(22160,22166) = 2

We will now calculate the prime factors of 22160 and 22166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22160 and 22166.

How to find the GCF of 22160 and 22166?

We will first find the prime factorization of 22160 and 22166. After we will calculate the factors of 22160 and 22166 and find the biggest common factor number .

Step-1: Prime Factorization of 22160

Prime factors of 22160 are 2, 5, 277. Prime factorization of 22160 in exponential form is:

22160 = 2⁴ × 5¹ × 277¹

Step-2: Prime Factorization of 22166

Prime factors of 22166 are 2, 11083. Prime factorization of 22166 in exponential form is:

22166 = 2¹ × 11083¹

Step-3: Factors of 22160

List of positive integer factors of 22160 that divides 22160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 277, 554, 1108, 1385, 2216, 2770, 4432, 5540, 11080

Step-4: Factors of 22166

List of positive integer factors of 22166 that divides 22160 without a remainder.

1, 2, 11083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22160 and 22166. The biggest common factor number is the GCF number.
So the greatest common factor 22160 and 22166 is 2.

Also check out the Least Common Multiple of 22160 and 22166