What is the Greatest Common Factor of 19123 and 19136?

Greatest common factor (GCF) of 19123 and 19136 is 13.

GCF(19123,19136) = 13

We will now calculate the prime factors of 19123 and 19136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19123 and 19136.

How to find the GCF of 19123 and 19136?

We will first find the prime factorization of 19123 and 19136. After we will calculate the factors of 19123 and 19136 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 19136

Prime factors of 19136 are 2, 13, 23. Prime factorization of 19136 in exponential form is:

19136 = 2⁶ × 13¹ × 23¹

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 19136

List of positive integer factors of 19136 that divides 19123 without a remainder.

1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 64, 92, 104, 184, 208, 299, 368, 416, 598, 736, 832, 1196, 1472, 2392, 4784, 9568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19123 and 19136. The biggest common factor number is the GCF number.
So the greatest common factor 19123 and 19136 is 13.

Also check out the Least Common Multiple of 19123 and 19136