What is the Greatest Common Factor of 93888 and 93900?

Greatest common factor (GCF) of 93888 and 93900 is 12.

GCF(93888,93900) = 12

We will now calculate the prime factors of 93888 and 93900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93888 and 93900.

How to find the GCF of 93888 and 93900?

We will first find the prime factorization of 93888 and 93900. After we will calculate the factors of 93888 and 93900 and find the biggest common factor number .

Step-1: Prime Factorization of 93888

Prime factors of 93888 are 2, 3, 163. Prime factorization of 93888 in exponential form is:

93888 = 2⁶ × 3² × 163¹

Step-2: Prime Factorization of 93900

Prime factors of 93900 are 2, 3, 5, 313. Prime factorization of 93900 in exponential form is:

93900 = 2² × 3¹ × 5² × 313¹

Step-3: Factors of 93888

List of positive integer factors of 93888 that divides 93888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 163, 192, 288, 326, 489, 576, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5216, 5868, 7824, 10432, 11736, 15648, 23472, 31296, 46944

Step-4: Factors of 93900

List of positive integer factors of 93900 that divides 93888 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, 313, 626, 939, 1252, 1565, 1878, 3130, 3756, 4695, 6260, 7825, 9390, 15650, 18780, 23475, 31300, 46950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93888 and 93900. The biggest common factor number is the GCF number.
So the greatest common factor 93888 and 93900 is 12.

Also check out the Least Common Multiple of 93888 and 93900