What is the Greatest Common Factor of 95888 and 95904?

Greatest common factor (GCF) of 95888 and 95904 is 16.

GCF(95888,95904) = 16

We will now calculate the prime factors of 95888 and 95904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95888 and 95904.

How to find the GCF of 95888 and 95904?

We will first find the prime factorization of 95888 and 95904. After we will calculate the factors of 95888 and 95904 and find the biggest common factor number .

Step-1: Prime Factorization of 95888

Prime factors of 95888 are 2, 13, 461. Prime factorization of 95888 in exponential form is:

95888 = 2⁴ × 13¹ × 461¹

Step-2: 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-3: Factors of 95888

List of positive integer factors of 95888 that divides 95888 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 461, 922, 1844, 3688, 5993, 7376, 11986, 23972, 47944

Step-4: Factors of 95904

List of positive integer factors of 95904 that divides 95888 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95888 and 95904. The biggest common factor number is the GCF number.
So the greatest common factor 95888 and 95904 is 16.

Also check out the Least Common Multiple of 95888 and 95904