What is the Greatest Common Factor of 95808 and 95823?

Greatest common factor (GCF) of 95808 and 95823 is 3.

GCF(95808,95823) = 3

We will now calculate the prime factors of 95808 and 95823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95808 and 95823.

How to find the GCF of 95808 and 95823?

We will first find the prime factorization of 95808 and 95823. After we will calculate the factors of 95808 and 95823 and find the biggest common factor number .

Step-1: Prime Factorization of 95808

Prime factors of 95808 are 2, 3, 499. Prime factorization of 95808 in exponential form is:

95808 = 2⁶ × 3¹ × 499¹

Step-2: Prime Factorization of 95823

Prime factors of 95823 are 3, 7, 13. Prime factorization of 95823 in exponential form is:

95823 = 3⁴ × 7¹ × 13²

Step-3: Factors of 95808

List of positive integer factors of 95808 that divides 95808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 499, 998, 1497, 1996, 2994, 3992, 5988, 7984, 11976, 15968, 23952, 31936, 47904

Step-4: Factors of 95823

List of positive integer factors of 95823 that divides 95808 without a remainder.

1, 3, 7, 9, 13, 21, 27, 39, 63, 81, 91, 117, 169, 189, 273, 351, 507, 567, 819, 1053, 1183, 1521, 2457, 3549, 4563, 7371, 10647, 13689, 31941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95808 and 95823. The biggest common factor number is the GCF number.
So the greatest common factor 95808 and 95823 is 3.

Also check out the Least Common Multiple of 95808 and 95823