What is the Greatest Common Factor of 57849 and 57859?

Greatest common factor (GCF) of 57849 and 57859 is 1.

GCF(57849,57859) = 1

We will now calculate the prime factors of 57849 and 57859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57849 and 57859.

How to find the GCF of 57849 and 57859?

We will first find the prime factorization of 57849 and 57859. After we will calculate the factors of 57849 and 57859 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57859

Prime factors of 57859 are 57859. Prime factorization of 57859 in exponential form is:

57859 = 57859¹

Step-3: Factors of 57849

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

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

Step-4: Factors of 57859

List of positive integer factors of 57859 that divides 57849 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57849 and 57859. The biggest common factor number is the GCF number.
So the greatest common factor 57849 and 57859 is 1.

Also check out the Least Common Multiple of 57849 and 57859