What is the Greatest Common Factor of 95796 and 95814?

Greatest common factor (GCF) of 95796 and 95814 is 18.

GCF(95796,95814) = 18

We will now calculate the prime factors of 95796 and 95814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95796 and 95814.

How to find the GCF of 95796 and 95814?

We will first find the prime factorization of 95796 and 95814. After we will calculate the factors of 95796 and 95814 and find the biggest common factor number .

Step-1: Prime Factorization of 95796

Prime factors of 95796 are 2, 3, 887. Prime factorization of 95796 in exponential form is:

95796 = 2² × 3³ × 887¹

Step-2: Prime Factorization of 95814

Prime factors of 95814 are 2, 3, 5323. Prime factorization of 95814 in exponential form is:

95814 = 2¹ × 3² × 5323¹

Step-3: Factors of 95796

List of positive integer factors of 95796 that divides 95796 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 887, 1774, 2661, 3548, 5322, 7983, 10644, 15966, 23949, 31932, 47898

Step-4: Factors of 95814

List of positive integer factors of 95814 that divides 95796 without a remainder.

1, 2, 3, 6, 9, 18, 5323, 10646, 15969, 31938, 47907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95796 and 95814. The biggest common factor number is the GCF number.
So the greatest common factor 95796 and 95814 is 18.

Also check out the Least Common Multiple of 95796 and 95814