What is the Greatest Common Factor of 18078 and 18096?

Greatest common factor (GCF) of 18078 and 18096 is 6.

GCF(18078,18096) = 6

We will now calculate the prime factors of 18078 and 18096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18078 and 18096.

How to find the GCF of 18078 and 18096?

We will first find the prime factorization of 18078 and 18096. After we will calculate the factors of 18078 and 18096 and find the biggest common factor number .

Step-1: Prime Factorization of 18078

Prime factors of 18078 are 2, 3, 23, 131. Prime factorization of 18078 in exponential form is:

18078 = 2¹ × 3¹ × 23¹ × 131¹

Step-2: 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-3: Factors of 18078

List of positive integer factors of 18078 that divides 18078 without a remainder.

1, 2, 3, 6, 23, 46, 69, 131, 138, 262, 393, 786, 3013, 6026, 9039

Step-4: Factors of 18096

List of positive integer factors of 18096 that divides 18078 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18078 and 18096. The biggest common factor number is the GCF number.
So the greatest common factor 18078 and 18096 is 6.

Also check out the Least Common Multiple of 18078 and 18096