What is the Greatest Common Factor of 19128 and 19136?

Greatest common factor (GCF) of 19128 and 19136 is 8.

GCF(19128,19136) = 8

We will now calculate the prime factors of 19128 and 19136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19128 and 19136.

How to find the GCF of 19128 and 19136?

We will first find the prime factorization of 19128 and 19136. After we will calculate the factors of 19128 and 19136 and find the biggest common factor number .

Step-1: Prime Factorization of 19128

Prime factors of 19128 are 2, 3, 797. Prime factorization of 19128 in exponential form is:

19128 = 2³ × 3¹ × 797¹

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 19128

List of positive integer factors of 19128 that divides 19128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 797, 1594, 2391, 3188, 4782, 6376, 9564

Step-4: Factors of 19136

List of positive integer factors of 19136 that divides 19128 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 19128 and 19136. The biggest common factor number is the GCF number.
So the greatest common factor 19128 and 19136 is 8.

Also check out the Least Common Multiple of 19128 and 19136