What is the Greatest Common Factor of 22164 and 22178?

Greatest common factor (GCF) of 22164 and 22178 is 2.

GCF(22164,22178) = 2

We will now calculate the prime factors of 22164 and 22178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22164 and 22178.

How to find the GCF of 22164 and 22178?

We will first find the prime factorization of 22164 and 22178. After we will calculate the factors of 22164 and 22178 and find the biggest common factor number .

Step-1: Prime Factorization of 22164

Prime factors of 22164 are 2, 3, 1847. Prime factorization of 22164 in exponential form is:

22164 = 2² × 3¹ × 1847¹

Step-2: Prime Factorization of 22178

Prime factors of 22178 are 2, 13, 853. Prime factorization of 22178 in exponential form is:

22178 = 2¹ × 13¹ × 853¹

Step-3: Factors of 22164

List of positive integer factors of 22164 that divides 22164 without a remainder.

1, 2, 3, 4, 6, 12, 1847, 3694, 5541, 7388, 11082

Step-4: Factors of 22178

List of positive integer factors of 22178 that divides 22164 without a remainder.

1, 2, 13, 26, 853, 1706, 11089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22164 and 22178. The biggest common factor number is the GCF number.
So the greatest common factor 22164 and 22178 is 2.

Also check out the Least Common Multiple of 22164 and 22178