What is the Greatest Common Factor of 57840 and 57856?

Greatest common factor (GCF) of 57840 and 57856 is 16.

GCF(57840,57856) = 16

We will now calculate the prime factors of 57840 and 57856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57840 and 57856.

How to find the GCF of 57840 and 57856?

We will first find the prime factorization of 57840 and 57856. After we will calculate the factors of 57840 and 57856 and find the biggest common factor number .

Step-1: Prime Factorization of 57840

Prime factors of 57840 are 2, 3, 5, 241. Prime factorization of 57840 in exponential form is:

57840 = 2⁴ × 3¹ × 5¹ × 241¹

Step-2: Prime Factorization of 57856

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

57856 = 2⁹ × 113¹

Step-3: Factors of 57840

List of positive integer factors of 57840 that divides 57840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 241, 482, 723, 964, 1205, 1446, 1928, 2410, 2892, 3615, 3856, 4820, 5784, 7230, 9640, 11568, 14460, 19280, 28920

Step-4: Factors of 57856

List of positive integer factors of 57856 that divides 57840 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57840 and 57856. The biggest common factor number is the GCF number.
So the greatest common factor 57840 and 57856 is 16.

Also check out the Least Common Multiple of 57840 and 57856