What is the Greatest Common Factor of 19256 and 19264?

Greatest common factor (GCF) of 19256 and 19264 is 8.

GCF(19256,19264) = 8

We will now calculate the prime factors of 19256 and 19264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19256 and 19264.

How to find the GCF of 19256 and 19264?

We will first find the prime factorization of 19256 and 19264. After we will calculate the factors of 19256 and 19264 and find the biggest common factor number .

Step-1: Prime Factorization of 19256

Prime factors of 19256 are 2, 29, 83. Prime factorization of 19256 in exponential form is:

19256 = 2³ × 29¹ × 83¹

Step-2: Prime Factorization of 19264

Prime factors of 19264 are 2, 7, 43. Prime factorization of 19264 in exponential form is:

19264 = 2⁶ × 7¹ × 43¹

Step-3: Factors of 19256

List of positive integer factors of 19256 that divides 19256 without a remainder.

1, 2, 4, 8, 29, 58, 83, 116, 166, 232, 332, 664, 2407, 4814, 9628

Step-4: Factors of 19264

List of positive integer factors of 19264 that divides 19256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 64, 86, 112, 172, 224, 301, 344, 448, 602, 688, 1204, 1376, 2408, 2752, 4816, 9632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19256 and 19264. The biggest common factor number is the GCF number.
So the greatest common factor 19256 and 19264 is 8.

Also check out the Least Common Multiple of 19256 and 19264