What is the Greatest Common Factor of 19096 and 19110?

Greatest common factor (GCF) of 19096 and 19110 is 14.

GCF(19096,19110) = 14

We will now calculate the prime factors of 19096 and 19110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19096 and 19110.

How to find the GCF of 19096 and 19110?

We will first find the prime factorization of 19096 and 19110. After we will calculate the factors of 19096 and 19110 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19110

Prime factors of 19110 are 2, 3, 5, 7, 13. Prime factorization of 19110 in exponential form is:

19110 = 2¹ × 3¹ × 5¹ × 7² × 13¹

Step-3: Factors of 19096

List of positive integer factors of 19096 that divides 19096 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

Step-4: Factors of 19110

List of positive integer factors of 19110 that divides 19096 without a remainder.

1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 49, 65, 70, 78, 91, 98, 105, 130, 147, 182, 195, 210, 245, 273, 294, 390, 455, 490, 546, 637, 735, 910, 1274, 1365, 1470, 1911, 2730, 3185, 3822, 6370, 9555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19096 and 19110. The biggest common factor number is the GCF number.
So the greatest common factor 19096 and 19110 is 14.

Also check out the Least Common Multiple of 19096 and 19110