What is the Greatest Common Factor of 57888 and 57906?

Greatest common factor (GCF) of 57888 and 57906 is 18.

GCF(57888,57906) = 18

We will now calculate the prime factors of 57888 and 57906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57888 and 57906.

How to find the GCF of 57888 and 57906?

We will first find the prime factorization of 57888 and 57906. After we will calculate the factors of 57888 and 57906 and find the biggest common factor number .

Step-1: Prime Factorization of 57888

Prime factors of 57888 are 2, 3, 67. Prime factorization of 57888 in exponential form is:

57888 = 2⁵ × 3³ × 67¹

Step-2: Prime Factorization of 57906

Prime factors of 57906 are 2, 3, 3217. Prime factorization of 57906 in exponential form is:

57906 = 2¹ × 3² × 3217¹

Step-3: Factors of 57888

List of positive integer factors of 57888 that divides 57888 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 67, 72, 96, 108, 134, 144, 201, 216, 268, 288, 402, 432, 536, 603, 804, 864, 1072, 1206, 1608, 1809, 2144, 2412, 3216, 3618, 4824, 6432, 7236, 9648, 14472, 19296, 28944

Step-4: Factors of 57906

List of positive integer factors of 57906 that divides 57888 without a remainder.

1, 2, 3, 6, 9, 18, 3217, 6434, 9651, 19302, 28953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57888 and 57906. The biggest common factor number is the GCF number.
So the greatest common factor 57888 and 57906 is 18.

Also check out the Least Common Multiple of 57888 and 57906