What is the Greatest Common Factor of 2154 and 2166?

Greatest common factor (GCF) of 2154 and 2166 is 6.

GCF(2154,2166) = 6

We will now calculate the prime factors of 2154 and 2166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2154 and 2166.

How to find the GCF of 2154 and 2166?

We will first find the prime factorization of 2154 and 2166. After we will calculate the factors of 2154 and 2166 and find the biggest common factor number .

Step-1: Prime Factorization of 2154

Prime factors of 2154 are 2, 3, 359. Prime factorization of 2154 in exponential form is:

2154 = 2¹ × 3¹ × 359¹

Step-2: Prime Factorization of 2166

Prime factors of 2166 are 2, 3, 19. Prime factorization of 2166 in exponential form is:

2166 = 2¹ × 3¹ × 19²

Step-3: Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1, 2, 3, 6, 359, 718, 1077

Step-4: Factors of 2166

List of positive integer factors of 2166 that divides 2154 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 361, 722, 1083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2154 and 2166. The biggest common factor number is the GCF number.
So the greatest common factor 2154 and 2166 is 6.

Also check out the Least Common Multiple of 2154 and 2166