What is the Greatest Common Factor of 57840 and 57845?

Greatest common factor (GCF) of 57840 and 57845 is 5.

GCF(57840,57845) = 5

We will now calculate the prime factors of 57840 and 57845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57840 and 57845.

How to find the GCF of 57840 and 57845?

We will first find the prime factorization of 57840 and 57845. After we will calculate the factors of 57840 and 57845 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 57845

Prime factors of 57845 are 5, 23, 503. Prime factorization of 57845 in exponential form is:

57845 = 5¹ × 23¹ × 503¹

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 57845

List of positive integer factors of 57845 that divides 57840 without a remainder.

1, 5, 23, 115, 503, 2515, 11569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57840 and 57845. The biggest common factor number is the GCF number.
So the greatest common factor 57840 and 57845 is 5.

Also check out the Least Common Multiple of 57840 and 57845