What is the Greatest Common Factor of 18096 and 18109?

Greatest common factor (GCF) of 18096 and 18109 is 13.

GCF(18096,18109) = 13

We will now calculate the prime factors of 18096 and 18109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18096 and 18109.

How to find the GCF of 18096 and 18109?

We will first find the prime factorization of 18096 and 18109. After we will calculate the factors of 18096 and 18109 and find the biggest common factor number .

Step-1: Prime Factorization of 18096

Prime factors of 18096 are 2, 3, 13, 29. Prime factorization of 18096 in exponential form is:

18096 = 2⁴ × 3¹ × 13¹ × 29¹

Step-2: Prime Factorization of 18109

Prime factors of 18109 are 7, 13, 199. Prime factorization of 18109 in exponential form is:

18109 = 7¹ × 13¹ × 199¹

Step-3: Factors of 18096

List of positive integer factors of 18096 that divides 18096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 29, 39, 48, 52, 58, 78, 87, 104, 116, 156, 174, 208, 232, 312, 348, 377, 464, 624, 696, 754, 1131, 1392, 1508, 2262, 3016, 4524, 6032, 9048

Step-4: Factors of 18109

List of positive integer factors of 18109 that divides 18096 without a remainder.

1, 7, 13, 91, 199, 1393, 2587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18096 and 18109. The biggest common factor number is the GCF number.
So the greatest common factor 18096 and 18109 is 13.

Also check out the Least Common Multiple of 18096 and 18109