What is the Greatest Common Factor of 96105 and 96111?

Greatest common factor (GCF) of 96105 and 96111 is 3.

GCF(96105,96111) = 3

We will now calculate the prime factors of 96105 and 96111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96105 and 96111.

How to find the GCF of 96105 and 96111?

We will first find the prime factorization of 96105 and 96111. After we will calculate the factors of 96105 and 96111 and find the biggest common factor number .

Step-1: Prime Factorization of 96105

Prime factors of 96105 are 3, 5, 43, 149. Prime factorization of 96105 in exponential form is:

96105 = 3¹ × 5¹ × 43¹ × 149¹

Step-2: Prime Factorization of 96111

Prime factors of 96111 are 3, 59, 181. Prime factorization of 96111 in exponential form is:

96111 = 3² × 59¹ × 181¹

Step-3: Factors of 96105

List of positive integer factors of 96105 that divides 96105 without a remainder.

1, 3, 5, 15, 43, 129, 149, 215, 447, 645, 745, 2235, 6407, 19221, 32035

Step-4: Factors of 96111

List of positive integer factors of 96111 that divides 96105 without a remainder.

1, 3, 9, 59, 177, 181, 531, 543, 1629, 10679, 32037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96105 and 96111. The biggest common factor number is the GCF number.
So the greatest common factor 96105 and 96111 is 3.

Also check out the Least Common Multiple of 96105 and 96111