What is the Greatest Common Factor of 57813 and 57831?

Greatest common factor (GCF) of 57813 and 57831 is 3.

GCF(57813,57831) = 3

We will now calculate the prime factors of 57813 and 57831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57813 and 57831.

How to find the GCF of 57813 and 57831?

We will first find the prime factorization of 57813 and 57831. After we will calculate the factors of 57813 and 57831 and find the biggest common factor number .

Step-1: Prime Factorization of 57813

Prime factors of 57813 are 3, 7, 2753. Prime factorization of 57813 in exponential form is:

57813 = 3¹ × 7¹ × 2753¹

Step-2: Prime Factorization of 57831

Prime factors of 57831 are 3, 37, 521. Prime factorization of 57831 in exponential form is:

57831 = 3¹ × 37¹ × 521¹

Step-3: Factors of 57813

List of positive integer factors of 57813 that divides 57813 without a remainder.

1, 3, 7, 21, 2753, 8259, 19271

Step-4: Factors of 57831

List of positive integer factors of 57831 that divides 57813 without a remainder.

1, 3, 37, 111, 521, 1563, 19277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57813 and 57831. The biggest common factor number is the GCF number.
So the greatest common factor 57813 and 57831 is 3.

Also check out the Least Common Multiple of 57813 and 57831