What is the Greatest Common Factor of 57840 and 57846?

Greatest common factor (GCF) of 57840 and 57846 is 6.

GCF(57840,57846) = 6

We will now calculate the prime factors of 57840 and 57846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57840 and 57846.

How to find the GCF of 57840 and 57846?

We will first find the prime factorization of 57840 and 57846. After we will calculate the factors of 57840 and 57846 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 57846

Prime factors of 57846 are 2, 3, 31, 311. Prime factorization of 57846 in exponential form is:

57846 = 2¹ × 3¹ × 31¹ × 311¹

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 57846

List of positive integer factors of 57846 that divides 57840 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 311, 622, 933, 1866, 9641, 19282, 28923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57840 and 57846. The biggest common factor number is the GCF number.
So the greatest common factor 57840 and 57846 is 6.

Also check out the Least Common Multiple of 57840 and 57846