What is the Greatest Common Factor of 57840 and 57849?

Greatest common factor (GCF) of 57840 and 57849 is 3.

GCF(57840,57849) = 3

We will now calculate the prime factors of 57840 and 57849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57840 and 57849.

How to find the GCF of 57840 and 57849?

We will first find the prime factorization of 57840 and 57849. After we will calculate the factors of 57840 and 57849 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 57849

Prime factors of 57849 are 3, 11, 1753. Prime factorization of 57849 in exponential form is:

57849 = 3¹ × 11¹ × 1753¹

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 57849

List of positive integer factors of 57849 that divides 57840 without a remainder.

1, 3, 11, 33, 1753, 5259, 19283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57840 and 57849. The biggest common factor number is the GCF number.
So the greatest common factor 57840 and 57849 is 3.

Also check out the Least Common Multiple of 57840 and 57849