What is the Greatest Common Factor of 21666 and 21678?

Greatest common factor (GCF) of 21666 and 21678 is 6.

GCF(21666,21678) = 6

We will now calculate the prime factors of 21666 and 21678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21666 and 21678.

How to find the GCF of 21666 and 21678?

We will first find the prime factorization of 21666 and 21678. After we will calculate the factors of 21666 and 21678 and find the biggest common factor number .

Step-1: Prime Factorization of 21666

Prime factors of 21666 are 2, 3, 23, 157. Prime factorization of 21666 in exponential form is:

21666 = 2¹ × 3¹ × 23¹ × 157¹

Step-2: Prime Factorization of 21678

Prime factors of 21678 are 2, 3, 3613. Prime factorization of 21678 in exponential form is:

21678 = 2¹ × 3¹ × 3613¹

Step-3: Factors of 21666

List of positive integer factors of 21666 that divides 21666 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 157, 314, 471, 942, 3611, 7222, 10833

Step-4: Factors of 21678

List of positive integer factors of 21678 that divides 21666 without a remainder.

1, 2, 3, 6, 3613, 7226, 10839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21666 and 21678. The biggest common factor number is the GCF number.
So the greatest common factor 21666 and 21678 is 6.

Also check out the Least Common Multiple of 21666 and 21678