What is the Greatest Common Factor of 22074 and 22089?

Greatest common factor (GCF) of 22074 and 22089 is 3.

GCF(22074,22089) = 3

We will now calculate the prime factors of 22074 and 22089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22074 and 22089.

How to find the GCF of 22074 and 22089?

We will first find the prime factorization of 22074 and 22089. After we will calculate the factors of 22074 and 22089 and find the biggest common factor number .

Step-1: Prime Factorization of 22074

Prime factors of 22074 are 2, 3, 13, 283. Prime factorization of 22074 in exponential form is:

22074 = 2¹ × 3¹ × 13¹ × 283¹

Step-2: Prime Factorization of 22089

Prime factors of 22089 are 3, 37, 199. Prime factorization of 22089 in exponential form is:

22089 = 3¹ × 37¹ × 199¹

Step-3: Factors of 22074

List of positive integer factors of 22074 that divides 22074 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 283, 566, 849, 1698, 3679, 7358, 11037

Step-4: Factors of 22089

List of positive integer factors of 22089 that divides 22074 without a remainder.

1, 3, 37, 111, 199, 597, 7363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22074 and 22089. The biggest common factor number is the GCF number.
So the greatest common factor 22074 and 22089 is 3.

Also check out the Least Common Multiple of 22074 and 22089