What is the Greatest Common Factor of 95328 and 95338?

Greatest common factor (GCF) of 95328 and 95338 is 2.

GCF(95328,95338) = 2

We will now calculate the prime factors of 95328 and 95338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95328 and 95338.

How to find the GCF of 95328 and 95338?

We will first find the prime factorization of 95328 and 95338. After we will calculate the factors of 95328 and 95338 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 95338

Prime factors of 95338 are 2, 73, 653. Prime factorization of 95338 in exponential form is:

95338 = 2¹ × 73¹ × 653¹

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 95338

List of positive integer factors of 95338 that divides 95328 without a remainder.

1, 2, 73, 146, 653, 1306, 47669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95328 and 95338. The biggest common factor number is the GCF number.
So the greatest common factor 95328 and 95338 is 2.

Also check out the Least Common Multiple of 95328 and 95338