What is the Greatest Common Factor of 95312 and 95328?

Greatest common factor (GCF) of 95312 and 95328 is 16.

GCF(95312,95328) = 16

We will now calculate the prime factors of 95312 and 95328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95312 and 95328.

How to find the GCF of 95312 and 95328?

We will first find the prime factorization of 95312 and 95328. After we will calculate the factors of 95312 and 95328 and find the biggest common factor number .

Step-1: Prime Factorization of 95312

Prime factors of 95312 are 2, 7, 23, 37. Prime factorization of 95312 in exponential form is:

95312 = 2⁴ × 7¹ × 23¹ × 37¹

Step-2: 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-3: Factors of 95312

List of positive integer factors of 95312 that divides 95312 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 37, 46, 56, 74, 92, 112, 148, 161, 184, 259, 296, 322, 368, 518, 592, 644, 851, 1036, 1288, 1702, 2072, 2576, 3404, 4144, 5957, 6808, 11914, 13616, 23828, 47656

Step-4: Factors of 95328

List of positive integer factors of 95328 that divides 95312 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95312 and 95328. The biggest common factor number is the GCF number.
So the greatest common factor 95312 and 95328 is 16.

Also check out the Least Common Multiple of 95312 and 95328