What is the Greatest Common Factor of 22674 and 22686?

Greatest common factor (GCF) of 22674 and 22686 is 6.

GCF(22674,22686) = 6

We will now calculate the prime factors of 22674 and 22686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22674 and 22686.

How to find the GCF of 22674 and 22686?

We will first find the prime factorization of 22674 and 22686. After we will calculate the factors of 22674 and 22686 and find the biggest common factor number .

Step-1: Prime Factorization of 22674

Prime factors of 22674 are 2, 3, 3779. Prime factorization of 22674 in exponential form is:

22674 = 2¹ × 3¹ × 3779¹

Step-2: Prime Factorization of 22686

Prime factors of 22686 are 2, 3, 19, 199. Prime factorization of 22686 in exponential form is:

22686 = 2¹ × 3¹ × 19¹ × 199¹

Step-3: Factors of 22674

List of positive integer factors of 22674 that divides 22674 without a remainder.

1, 2, 3, 6, 3779, 7558, 11337

Step-4: Factors of 22686

List of positive integer factors of 22686 that divides 22674 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 199, 398, 597, 1194, 3781, 7562, 11343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22674 and 22686. The biggest common factor number is the GCF number.
So the greatest common factor 22674 and 22686 is 6.

Also check out the Least Common Multiple of 22674 and 22686