What is the Greatest Common Factor of 21096 and 21103?

Greatest common factor (GCF) of 21096 and 21103 is 1.

GCF(21096,21103) = 1

We will now calculate the prime factors of 21096 and 21103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21096 and 21103.

How to find the GCF of 21096 and 21103?

We will first find the prime factorization of 21096 and 21103. After we will calculate the factors of 21096 and 21103 and find the biggest common factor number .

Step-1: Prime Factorization of 21096

Prime factors of 21096 are 2, 3, 293. Prime factorization of 21096 in exponential form is:

21096 = 2³ × 3² × 293¹

Step-2: Prime Factorization of 21103

Prime factors of 21103 are 47, 449. Prime factorization of 21103 in exponential form is:

21103 = 47¹ × 449¹

Step-3: Factors of 21096

List of positive integer factors of 21096 that divides 21096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 293, 586, 879, 1172, 1758, 2344, 2637, 3516, 5274, 7032, 10548

Step-4: Factors of 21103

List of positive integer factors of 21103 that divides 21096 without a remainder.

1, 47, 449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21096 and 21103. The biggest common factor number is the GCF number.
So the greatest common factor 21096 and 21103 is 1.

Also check out the Least Common Multiple of 21096 and 21103