What is the Greatest Common Factor of 93696 and 93712?

Greatest common factor (GCF) of 93696 and 93712 is 16.

GCF(93696,93712) = 16

We will now calculate the prime factors of 93696 and 93712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93696 and 93712.

How to find the GCF of 93696 and 93712?

We will first find the prime factorization of 93696 and 93712. After we will calculate the factors of 93696 and 93712 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 93712

Prime factors of 93712 are 2, 5857. Prime factorization of 93712 in exponential form is:

93712 = 2⁴ × 5857¹

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 93712

List of positive integer factors of 93712 that divides 93696 without a remainder.

1, 2, 4, 8, 16, 5857, 11714, 23428, 46856

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93696 and 93712. The biggest common factor number is the GCF number.
So the greatest common factor 93696 and 93712 is 16.

Also check out the Least Common Multiple of 93696 and 93712