What is the Greatest Common Factor of 57870 and 57888?

Greatest common factor (GCF) of 57870 and 57888 is 18.

GCF(57870,57888) = 18

We will now calculate the prime factors of 57870 and 57888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57870 and 57888.

How to find the GCF of 57870 and 57888?

We will first find the prime factorization of 57870 and 57888. After we will calculate the factors of 57870 and 57888 and find the biggest common factor number .

Step-1: Prime Factorization of 57870

Prime factors of 57870 are 2, 3, 5, 643. Prime factorization of 57870 in exponential form is:

57870 = 2¹ × 3² × 5¹ × 643¹

Step-2: 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-3: Factors of 57870

List of positive integer factors of 57870 that divides 57870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 643, 1286, 1929, 3215, 3858, 5787, 6430, 9645, 11574, 19290, 28935

Step-4: Factors of 57888

List of positive integer factors of 57888 that divides 57870 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57870 and 57888. The biggest common factor number is the GCF number.
So the greatest common factor 57870 and 57888 is 18.

Also check out the Least Common Multiple of 57870 and 57888