What is the Greatest Common Factor of 2147 and 2166?

Greatest common factor (GCF) of 2147 and 2166 is 19.

GCF(2147,2166) = 19

We will now calculate the prime factors of 2147 and 2166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2147 and 2166.

How to find the GCF of 2147 and 2166?

We will first find the prime factorization of 2147 and 2166. After we will calculate the factors of 2147 and 2166 and find the biggest common factor number .

Step-1: Prime Factorization of 2147

Prime factors of 2147 are 19, 113. Prime factorization of 2147 in exponential form is:

2147 = 19¹ × 113¹

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 2147

List of positive integer factors of 2147 that divides 2147 without a remainder.

1, 19, 113

Step-4: Factors of 2166

List of positive integer factors of 2166 that divides 2147 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 2147 and 2166. The biggest common factor number is the GCF number.
So the greatest common factor 2147 and 2166 is 19.

Also check out the Least Common Multiple of 2147 and 2166