What is the Greatest Common Factor of 93874 and 93888?

Greatest common factor (GCF) of 93874 and 93888 is 2.

GCF(93874,93888) = 2

We will now calculate the prime factors of 93874 and 93888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93874 and 93888.

How to find the GCF of 93874 and 93888?

We will first find the prime factorization of 93874 and 93888. After we will calculate the factors of 93874 and 93888 and find the biggest common factor number .

Step-1: Prime Factorization of 93874

Prime factors of 93874 are 2, 11, 17, 251. Prime factorization of 93874 in exponential form is:

93874 = 2¹ × 11¹ × 17¹ × 251¹

Step-2: 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-3: Factors of 93874

List of positive integer factors of 93874 that divides 93874 without a remainder.

1, 2, 11, 17, 22, 34, 187, 251, 374, 502, 2761, 4267, 5522, 8534, 46937

Step-4: Factors of 93888

List of positive integer factors of 93888 that divides 93874 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93874 and 93888. The biggest common factor number is the GCF number.
So the greatest common factor 93874 and 93888 is 2.

Also check out the Least Common Multiple of 93874 and 93888