What is the Greatest Common Factor of 95823 and 95835?

Greatest common factor (GCF) of 95823 and 95835 is 3.

GCF(95823,95835) = 3

We will now calculate the prime factors of 95823 and 95835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95823 and 95835.

How to find the GCF of 95823 and 95835?

We will first find the prime factorization of 95823 and 95835. After we will calculate the factors of 95823 and 95835 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 95835

Prime factors of 95835 are 3, 5, 6389. Prime factorization of 95835 in exponential form is:

95835 = 3¹ × 5¹ × 6389¹

Step-3: Factors of 95823

List of positive integer factors of 95823 that divides 95823 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

Step-4: Factors of 95835

List of positive integer factors of 95835 that divides 95823 without a remainder.

1, 3, 5, 15, 6389, 19167, 31945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95823 and 95835. The biggest common factor number is the GCF number.
So the greatest common factor 95823 and 95835 is 3.

Also check out the Least Common Multiple of 95823 and 95835