What is the Greatest Common Factor of 95904 and 95916?

Greatest common factor (GCF) of 95904 and 95916 is 12.

GCF(95904,95916) = 12

We will now calculate the prime factors of 95904 and 95916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95904 and 95916.

How to find the GCF of 95904 and 95916?

We will first find the prime factorization of 95904 and 95916. After we will calculate the factors of 95904 and 95916 and find the biggest common factor number .

Step-1: Prime Factorization of 95904

Prime factors of 95904 are 2, 3, 37. Prime factorization of 95904 in exponential form is:

95904 = 2⁵ × 3⁴ × 37¹

Step-2: Prime Factorization of 95916

Prime factors of 95916 are 2, 3, 7993. Prime factorization of 95916 in exponential form is:

95916 = 2² × 3¹ × 7993¹

Step-3: Factors of 95904

List of positive integer factors of 95904 that divides 95904 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 37, 48, 54, 72, 74, 81, 96, 108, 111, 144, 148, 162, 216, 222, 288, 296, 324, 333, 432, 444, 592, 648, 666, 864, 888, 999, 1184, 1296, 1332, 1776, 1998, 2592, 2664, 2997, 3552, 3996, 5328, 5994, 7992, 10656, 11988, 15984, 23976, 31968, 47952

Step-4: Factors of 95916

List of positive integer factors of 95916 that divides 95904 without a remainder.

1, 2, 3, 4, 6, 12, 7993, 15986, 23979, 31972, 47958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95904 and 95916. The biggest common factor number is the GCF number.
So the greatest common factor 95904 and 95916 is 12.

Also check out the Least Common Multiple of 95904 and 95916