What is the Greatest Common Factor of 22146 and 22161?

Greatest common factor (GCF) of 22146 and 22161 is 3.

GCF(22146,22161) = 3

We will now calculate the prime factors of 22146 and 22161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22146 and 22161.

How to find the GCF of 22146 and 22161?

We will first find the prime factorization of 22146 and 22161. After we will calculate the factors of 22146 and 22161 and find the biggest common factor number .

Step-1: Prime Factorization of 22146

Prime factors of 22146 are 2, 3, 3691. Prime factorization of 22146 in exponential form is:

22146 = 2¹ × 3¹ × 3691¹

Step-2: Prime Factorization of 22161

Prime factors of 22161 are 3, 83, 89. Prime factorization of 22161 in exponential form is:

22161 = 3¹ × 83¹ × 89¹

Step-3: Factors of 22146

List of positive integer factors of 22146 that divides 22146 without a remainder.

1, 2, 3, 6, 3691, 7382, 11073

Step-4: Factors of 22161

List of positive integer factors of 22161 that divides 22146 without a remainder.

1, 3, 83, 89, 249, 267, 7387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22146 and 22161. The biggest common factor number is the GCF number.
So the greatest common factor 22146 and 22161 is 3.

Also check out the Least Common Multiple of 22146 and 22161