What is the Greatest Common Factor of 19120 and 19136?

Greatest common factor (GCF) of 19120 and 19136 is 16.

GCF(19120,19136) = 16

We will now calculate the prime factors of 19120 and 19136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19120 and 19136.

How to find the GCF of 19120 and 19136?

We will first find the prime factorization of 19120 and 19136. After we will calculate the factors of 19120 and 19136 and find the biggest common factor number .

Step-1: Prime Factorization of 19120

Prime factors of 19120 are 2, 5, 239. Prime factorization of 19120 in exponential form is:

19120 = 2⁴ × 5¹ × 239¹

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 19120

List of positive integer factors of 19120 that divides 19120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 239, 478, 956, 1195, 1912, 2390, 3824, 4780, 9560

Step-4: Factors of 19136

List of positive integer factors of 19136 that divides 19120 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 19120 and 19136. The biggest common factor number is the GCF number.
So the greatest common factor 19120 and 19136 is 16.

Also check out the Least Common Multiple of 19120 and 19136