What is the Greatest Common Factor of 19096 and 19103?

Greatest common factor (GCF) of 19096 and 19103 is 7.

GCF(19096,19103) = 7

We will now calculate the prime factors of 19096 and 19103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19096 and 19103.

How to find the GCF of 19096 and 19103?

We will first find the prime factorization of 19096 and 19103. After we will calculate the factors of 19096 and 19103 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 19103

Prime factors of 19103 are 7, 2729. Prime factorization of 19103 in exponential form is:

19103 = 7¹ × 2729¹

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 19103

List of positive integer factors of 19103 that divides 19096 without a remainder.

1, 7, 2729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19096 and 19103. The biggest common factor number is the GCF number.
So the greatest common factor 19096 and 19103 is 7.

Also check out the Least Common Multiple of 19096 and 19103