What is the Greatest Common Factor of 19123 and 19137?

Greatest common factor (GCF) of 19123 and 19137 is 1.

GCF(19123,19137) = 1

We will now calculate the prime factors of 19123 and 19137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19123 and 19137.

How to find the GCF of 19123 and 19137?

We will first find the prime factorization of 19123 and 19137. After we will calculate the factors of 19123 and 19137 and find the biggest common factor number .

Step-1: Prime Factorization of 19123

Prime factors of 19123 are 13, 1471. Prime factorization of 19123 in exponential form is:

19123 = 13¹ × 1471¹

Step-2: Prime Factorization of 19137

Prime factors of 19137 are 3, 6379. Prime factorization of 19137 in exponential form is:

19137 = 3¹ × 6379¹

Step-3: Factors of 19123

List of positive integer factors of 19123 that divides 19123 without a remainder.

1, 13, 1471

Step-4: Factors of 19137

List of positive integer factors of 19137 that divides 19123 without a remainder.

1, 3, 6379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19123 and 19137. The biggest common factor number is the GCF number.
So the greatest common factor 19123 and 19137 is 1.

Also check out the Least Common Multiple of 19123 and 19137