What is the Greatest Common Factor of 19136 and 19148?

Greatest common factor (GCF) of 19136 and 19148 is 4.

GCF(19136,19148) = 4

We will now calculate the prime factors of 19136 and 19148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19136 and 19148.

How to find the GCF of 19136 and 19148?

We will first find the prime factorization of 19136 and 19148. After we will calculate the factors of 19136 and 19148 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19148

Prime factors of 19148 are 2, 4787. Prime factorization of 19148 in exponential form is:

19148 = 2² × 4787¹

Step-3: Factors of 19136

List of positive integer factors of 19136 that divides 19136 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

Step-4: Factors of 19148

List of positive integer factors of 19148 that divides 19136 without a remainder.

1, 2, 4, 4787, 9574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19136 and 19148. The biggest common factor number is the GCF number.
So the greatest common factor 19136 and 19148 is 4.

Also check out the Least Common Multiple of 19136 and 19148