What is the Greatest Common Factor of 19089 and 19096?

Greatest common factor (GCF) of 19089 and 19096 is 7.

GCF(19089,19096) = 7

We will now calculate the prime factors of 19089 and 19096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19089 and 19096.

How to find the GCF of 19089 and 19096?

We will first find the prime factorization of 19089 and 19096. After we will calculate the factors of 19089 and 19096 and find the biggest common factor number .

Step-1: Prime Factorization of 19089

Prime factors of 19089 are 3, 7, 101. Prime factorization of 19089 in exponential form is:

19089 = 3³ × 7¹ × 101¹

Step-2: Prime Factorization of 19096

Prime factors of 19096 are 2, 7, 11, 31. Prime factorization of 19096 in exponential form is:

19096 = 2³ × 7¹ × 11¹ × 31¹

Step-3: Factors of 19089

List of positive integer factors of 19089 that divides 19089 without a remainder.

1, 3, 7, 9, 21, 27, 63, 101, 189, 303, 707, 909, 2121, 2727, 6363

Step-4: Factors of 19096

List of positive integer factors of 19096 that divides 19089 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 31, 44, 56, 62, 77, 88, 124, 154, 217, 248, 308, 341, 434, 616, 682, 868, 1364, 1736, 2387, 2728, 4774, 9548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19089 and 19096. The biggest common factor number is the GCF number.
So the greatest common factor 19089 and 19096 is 7.

Also check out the Least Common Multiple of 19089 and 19096