What is the Greatest Common Factor of 19149 and 19166?

Greatest common factor (GCF) of 19149 and 19166 is 1.

GCF(19149,19166) = 1

We will now calculate the prime factors of 19149 and 19166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19149 and 19166.

How to find the GCF of 19149 and 19166?

We will first find the prime factorization of 19149 and 19166. After we will calculate the factors of 19149 and 19166 and find the biggest common factor number .

Step-1: Prime Factorization of 19149

Prime factors of 19149 are 3, 13, 491. Prime factorization of 19149 in exponential form is:

19149 = 3¹ × 13¹ × 491¹

Step-2: Prime Factorization of 19166

Prime factors of 19166 are 2, 7, 37. Prime factorization of 19166 in exponential form is:

19166 = 2¹ × 7¹ × 37²

Step-3: Factors of 19149

List of positive integer factors of 19149 that divides 19149 without a remainder.

1, 3, 13, 39, 491, 1473, 6383

Step-4: Factors of 19166

List of positive integer factors of 19166 that divides 19149 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518, 1369, 2738, 9583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19149 and 19166. The biggest common factor number is the GCF number.
So the greatest common factor 19149 and 19166 is 1.

Also check out the Least Common Multiple of 19149 and 19166