What is the Greatest Common Factor of 21166 and 21185?

Greatest common factor (GCF) of 21166 and 21185 is 19.

GCF(21166,21185) = 19

We will now calculate the prime factors of 21166 and 21185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21166 and 21185.

How to find the GCF of 21166 and 21185?

We will first find the prime factorization of 21166 and 21185. After we will calculate the factors of 21166 and 21185 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21185

Prime factors of 21185 are 5, 19, 223. Prime factorization of 21185 in exponential form is:

21185 = 5¹ × 19¹ × 223¹

Step-3: Factors of 21166

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

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

Step-4: Factors of 21185

List of positive integer factors of 21185 that divides 21166 without a remainder.

1, 5, 19, 95, 223, 1115, 4237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21166 and 21185. The biggest common factor number is the GCF number.
So the greatest common factor 21166 and 21185 is 19.

Also check out the Least Common Multiple of 21166 and 21185