What is the Greatest Common Factor of 95328 and 95346?

Greatest common factor (GCF) of 95328 and 95346 is 18.

GCF(95328,95346) = 18

We will now calculate the prime factors of 95328 and 95346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95328 and 95346.

How to find the GCF of 95328 and 95346?

We will first find the prime factorization of 95328 and 95346. After we will calculate the factors of 95328 and 95346 and find the biggest common factor number .

Step-1: Prime Factorization of 95328

Prime factors of 95328 are 2, 3, 331. Prime factorization of 95328 in exponential form is:

95328 = 2⁵ × 3² × 331¹

Step-2: Prime Factorization of 95346

Prime factors of 95346 are 2, 3, 5297. Prime factorization of 95346 in exponential form is:

95346 = 2¹ × 3² × 5297¹

Step-3: Factors of 95328

List of positive integer factors of 95328 that divides 95328 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 331, 662, 993, 1324, 1986, 2648, 2979, 3972, 5296, 5958, 7944, 10592, 11916, 15888, 23832, 31776, 47664

Step-4: Factors of 95346

List of positive integer factors of 95346 that divides 95328 without a remainder.

1, 2, 3, 6, 9, 18, 5297, 10594, 15891, 31782, 47673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95328 and 95346. The biggest common factor number is the GCF number.
So the greatest common factor 95328 and 95346 is 18.

Also check out the Least Common Multiple of 95328 and 95346