What is the Greatest Common Factor of 21162 and 21166?

Greatest common factor (GCF) of 21162 and 21166 is 2.

GCF(21162,21166) = 2

We will now calculate the prime factors of 21162 and 21166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21162 and 21166.

How to find the GCF of 21162 and 21166?

We will first find the prime factorization of 21162 and 21166. After we will calculate the factors of 21162 and 21166 and find the biggest common factor number .

Step-1: Prime Factorization of 21162

Prime factors of 21162 are 2, 3, 3527. Prime factorization of 21162 in exponential form is:

21162 = 2¹ × 3¹ × 3527¹

Step-2: Prime Factorization of 21166

Prime factors of 21166 are 2, 19, 557. Prime factorization of 21166 in exponential form is:

21166 = 2¹ × 19¹ × 557¹

Step-3: Factors of 21162

List of positive integer factors of 21162 that divides 21162 without a remainder.

1, 2, 3, 6, 3527, 7054, 10581

Step-4: Factors of 21166

List of positive integer factors of 21166 that divides 21162 without a remainder.

1, 2, 19, 38, 557, 1114, 10583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21162 and 21166. The biggest common factor number is the GCF number.
So the greatest common factor 21162 and 21166 is 2.

Also check out the Least Common Multiple of 21162 and 21166