What is the Greatest Common Factor of 93696 and 93711?

Greatest common factor (GCF) of 93696 and 93711 is 3.

GCF(93696,93711) = 3

We will now calculate the prime factors of 93696 and 93711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93696 and 93711.

How to find the GCF of 93696 and 93711?

We will first find the prime factorization of 93696 and 93711. After we will calculate the factors of 93696 and 93711 and find the biggest common factor number .

Step-1: Prime Factorization of 93696

Prime factors of 93696 are 2, 3, 61. Prime factorization of 93696 in exponential form is:

93696 = 2⁹ × 3¹ × 61¹

Step-2: Prime Factorization of 93711

Prime factors of 93711 are 3, 31237. Prime factorization of 93711 in exponential form is:

93711 = 3¹ × 31237¹

Step-3: Factors of 93696

List of positive integer factors of 93696 that divides 93696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 256, 366, 384, 488, 512, 732, 768, 976, 1464, 1536, 1952, 2928, 3904, 5856, 7808, 11712, 15616, 23424, 31232, 46848

Step-4: Factors of 93711

List of positive integer factors of 93711 that divides 93696 without a remainder.

1, 3, 31237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93696 and 93711. The biggest common factor number is the GCF number.
So the greatest common factor 93696 and 93711 is 3.

Also check out the Least Common Multiple of 93696 and 93711