What is the Greatest Common Factor of 19291 and 19296?

Greatest common factor (GCF) of 19291 and 19296 is 1.

GCF(19291,19296) = 1

We will now calculate the prime factors of 19291 and 19296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19291 and 19296.

How to find the GCF of 19291 and 19296?

We will first find the prime factorization of 19291 and 19296. After we will calculate the factors of 19291 and 19296 and find the biggest common factor number .

Step-1: Prime Factorization of 19291

Prime factors of 19291 are 101, 191. Prime factorization of 19291 in exponential form is:

19291 = 101¹ × 191¹

Step-2: Prime Factorization of 19296

Prime factors of 19296 are 2, 3, 67. Prime factorization of 19296 in exponential form is:

19296 = 2⁵ × 3² × 67¹

Step-3: Factors of 19291

List of positive integer factors of 19291 that divides 19291 without a remainder.

1, 101, 191

Step-4: Factors of 19296

List of positive integer factors of 19296 that divides 19291 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 67, 72, 96, 134, 144, 201, 268, 288, 402, 536, 603, 804, 1072, 1206, 1608, 2144, 2412, 3216, 4824, 6432, 9648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19291 and 19296. The biggest common factor number is the GCF number.
So the greatest common factor 19291 and 19296 is 1.

Also check out the Least Common Multiple of 19291 and 19296