What is the Greatest Common Factor of 57849 and 57858?

Greatest common factor (GCF) of 57849 and 57858 is 3.

GCF(57849,57858) = 3

We will now calculate the prime factors of 57849 and 57858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57849 and 57858.

How to find the GCF of 57849 and 57858?

We will first find the prime factorization of 57849 and 57858. After we will calculate the factors of 57849 and 57858 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 57858

Prime factors of 57858 are 2, 3, 9643. Prime factorization of 57858 in exponential form is:

57858 = 2¹ × 3¹ × 9643¹

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 57858

List of positive integer factors of 57858 that divides 57849 without a remainder.

1, 2, 3, 6, 9643, 19286, 28929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57849 and 57858. The biggest common factor number is the GCF number.
So the greatest common factor 57849 and 57858 is 3.

Also check out the Least Common Multiple of 57849 and 57858