What is the Greatest Common Factor of 19149 and 19159?

Greatest common factor (GCF) of 19149 and 19159 is 1.

GCF(19149,19159) = 1

We will now calculate the prime factors of 19149 and 19159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19149 and 19159.

How to find the GCF of 19149 and 19159?

We will first find the prime factorization of 19149 and 19159. After we will calculate the factors of 19149 and 19159 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 19159

Prime factors of 19159 are 7, 17, 23. Prime factorization of 19159 in exponential form is:

19159 = 7² × 17¹ × 23¹

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 19159

List of positive integer factors of 19159 that divides 19149 without a remainder.

1, 7, 17, 23, 49, 119, 161, 391, 833, 1127, 2737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19149 and 19159. The biggest common factor number is the GCF number.
So the greatest common factor 19149 and 19159 is 1.

Also check out the Least Common Multiple of 19149 and 19159