What is the Greatest Common Factor of 93696 and 93713?

Greatest common factor (GCF) of 93696 and 93713 is 1.

GCF(93696,93713) = 1

We will now calculate the prime factors of 93696 and 93713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93696 and 93713.

How to find the GCF of 93696 and 93713?

We will first find the prime factorization of 93696 and 93713. After we will calculate the factors of 93696 and 93713 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 93713

Prime factors of 93713 are 31, 3023. Prime factorization of 93713 in exponential form is:

93713 = 31¹ × 3023¹

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 93713

List of positive integer factors of 93713 that divides 93696 without a remainder.

1, 31, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93696 and 93713. The biggest common factor number is the GCF number.
So the greatest common factor 93696 and 93713 is 1.

Also check out the Least Common Multiple of 93696 and 93713