What is the Greatest Common Factor of 57856 and 57870?

Greatest common factor (GCF) of 57856 and 57870 is 2.

GCF(57856,57870) = 2

We will now calculate the prime factors of 57856 and 57870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57856 and 57870.

How to find the GCF of 57856 and 57870?

We will first find the prime factorization of 57856 and 57870. After we will calculate the factors of 57856 and 57870 and find the biggest common factor number .

Step-1: Prime Factorization of 57856

Prime factors of 57856 are 2, 113. Prime factorization of 57856 in exponential form is:

57856 = 2⁹ × 113¹

Step-2: 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-3: Factors of 57856

List of positive integer factors of 57856 that divides 57856 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 128, 226, 256, 452, 512, 904, 1808, 3616, 7232, 14464, 28928

Step-4: Factors of 57870

List of positive integer factors of 57870 that divides 57856 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57856 and 57870. The biggest common factor number is the GCF number.
So the greatest common factor 57856 and 57870 is 2.

Also check out the Least Common Multiple of 57856 and 57870