What is the Greatest Common Factor of 22170 and 22174?

Greatest common factor (GCF) of 22170 and 22174 is 2.

GCF(22170,22174) = 2

We will now calculate the prime factors of 22170 and 22174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22170 and 22174.

How to find the GCF of 22170 and 22174?

We will first find the prime factorization of 22170 and 22174. After we will calculate the factors of 22170 and 22174 and find the biggest common factor number .

Step-1: Prime Factorization of 22170

Prime factors of 22170 are 2, 3, 5, 739. Prime factorization of 22170 in exponential form is:

22170 = 2¹ × 3¹ × 5¹ × 739¹

Step-2: Prime Factorization of 22174

Prime factors of 22174 are 2, 11087. Prime factorization of 22174 in exponential form is:

22174 = 2¹ × 11087¹

Step-3: Factors of 22170

List of positive integer factors of 22170 that divides 22170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 739, 1478, 2217, 3695, 4434, 7390, 11085

Step-4: Factors of 22174

List of positive integer factors of 22174 that divides 22170 without a remainder.

1, 2, 11087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22170 and 22174. The biggest common factor number is the GCF number.
So the greatest common factor 22170 and 22174 is 2.

Also check out the Least Common Multiple of 22170 and 22174