What is the Greatest Common Factor of 57867 and 57882?

Greatest common factor (GCF) of 57867 and 57882 is 3.

GCF(57867,57882) = 3

We will now calculate the prime factors of 57867 and 57882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57867 and 57882.

How to find the GCF of 57867 and 57882?

We will first find the prime factorization of 57867 and 57882. After we will calculate the factors of 57867 and 57882 and find the biggest common factor number .

Step-1: Prime Factorization of 57867

Prime factors of 57867 are 3, 19289. Prime factorization of 57867 in exponential form is:

57867 = 3¹ × 19289¹

Step-2: Prime Factorization of 57882

Prime factors of 57882 are 2, 3, 11, 877. Prime factorization of 57882 in exponential form is:

57882 = 2¹ × 3¹ × 11¹ × 877¹

Step-3: Factors of 57867

List of positive integer factors of 57867 that divides 57867 without a remainder.

1, 3, 19289

Step-4: Factors of 57882

List of positive integer factors of 57882 that divides 57867 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 877, 1754, 2631, 5262, 9647, 19294, 28941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57867 and 57882. The biggest common factor number is the GCF number.
So the greatest common factor 57867 and 57882 is 3.

Also check out the Least Common Multiple of 57867 and 57882