What is the Greatest Common Factor of 93680 and 93696?

Greatest common factor (GCF) of 93680 and 93696 is 16.

GCF(93680,93696) = 16

We will now calculate the prime factors of 93680 and 93696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93680 and 93696.

How to find the GCF of 93680 and 93696?

We will first find the prime factorization of 93680 and 93696. After we will calculate the factors of 93680 and 93696 and find the biggest common factor number .

Step-1: Prime Factorization of 93680

Prime factors of 93680 are 2, 5, 1171. Prime factorization of 93680 in exponential form is:

93680 = 2⁴ × 5¹ × 1171¹

Step-2: 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-3: Factors of 93680

List of positive integer factors of 93680 that divides 93680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1171, 2342, 4684, 5855, 9368, 11710, 18736, 23420, 46840

Step-4: Factors of 93696

List of positive integer factors of 93696 that divides 93680 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93680 and 93696. The biggest common factor number is the GCF number.
So the greatest common factor 93680 and 93696 is 16.

Also check out the Least Common Multiple of 93680 and 93696