What is the Greatest Common Factor of 57888 and 57905?

Greatest common factor (GCF) of 57888 and 57905 is 1.

GCF(57888,57905) = 1

We will now calculate the prime factors of 57888 and 57905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57888 and 57905.

How to find the GCF of 57888 and 57905?

We will first find the prime factorization of 57888 and 57905. After we will calculate the factors of 57888 and 57905 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 57905

Prime factors of 57905 are 5, 37, 313. Prime factorization of 57905 in exponential form is:

57905 = 5¹ × 37¹ × 313¹

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 57905

List of positive integer factors of 57905 that divides 57888 without a remainder.

1, 5, 37, 185, 313, 1565, 11581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57888 and 57905. The biggest common factor number is the GCF number.
So the greatest common factor 57888 and 57905 is 1.

Also check out the Least Common Multiple of 57888 and 57905