What is the Greatest Common Factor of 93792 and 93800?

Greatest common factor (GCF) of 93792 and 93800 is 8.

GCF(93792,93800) = 8

We will now calculate the prime factors of 93792 and 93800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93792 and 93800.

How to find the GCF of 93792 and 93800?

We will first find the prime factorization of 93792 and 93800. After we will calculate the factors of 93792 and 93800 and find the biggest common factor number .

Step-1: Prime Factorization of 93792

Prime factors of 93792 are 2, 3, 977. Prime factorization of 93792 in exponential form is:

93792 = 2⁵ × 3¹ × 977¹

Step-2: Prime Factorization of 93800

Prime factors of 93800 are 2, 5, 7, 67. Prime factorization of 93800 in exponential form is:

93800 = 2³ × 5² × 7¹ × 67¹

Step-3: Factors of 93792

List of positive integer factors of 93792 that divides 93792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 977, 1954, 2931, 3908, 5862, 7816, 11724, 15632, 23448, 31264, 46896

Step-4: Factors of 93800

List of positive integer factors of 93800 that divides 93792 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 67, 70, 100, 134, 140, 175, 200, 268, 280, 335, 350, 469, 536, 670, 700, 938, 1340, 1400, 1675, 1876, 2345, 2680, 3350, 3752, 4690, 6700, 9380, 11725, 13400, 18760, 23450, 46900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93792 and 93800. The biggest common factor number is the GCF number.
So the greatest common factor 93792 and 93800 is 8.

Also check out the Least Common Multiple of 93792 and 93800