What is the Greatest Common Factor of 93696 and 93702?

Greatest common factor (GCF) of 93696 and 93702 is 6.

GCF(93696,93702) = 6

We will now calculate the prime factors of 93696 and 93702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93696 and 93702.

How to find the GCF of 93696 and 93702?

We will first find the prime factorization of 93696 and 93702. After we will calculate the factors of 93696 and 93702 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 93702

Prime factors of 93702 are 2, 3, 7, 23, 97. Prime factorization of 93702 in exponential form is:

93702 = 2¹ × 3¹ × 7¹ × 23¹ × 97¹

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 93702

List of positive integer factors of 93702 that divides 93696 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 97, 138, 161, 194, 291, 322, 483, 582, 679, 966, 1358, 2037, 2231, 4074, 4462, 6693, 13386, 15617, 31234, 46851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93696 and 93702. The biggest common factor number is the GCF number.
So the greatest common factor 93696 and 93702 is 6.

Also check out the Least Common Multiple of 93696 and 93702