What is the Greatest Common Factor of 57871 and 57882?

Greatest common factor (GCF) of 57871 and 57882 is 11.

GCF(57871,57882) = 11

We will now calculate the prime factors of 57871 and 57882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57871 and 57882.

How to find the GCF of 57871 and 57882?

We will first find the prime factorization of 57871 and 57882. After we will calculate the factors of 57871 and 57882 and find the biggest common factor number .

Step-1: Prime Factorization of 57871

Prime factors of 57871 are 11, 5261. Prime factorization of 57871 in exponential form is:

57871 = 11¹ × 5261¹

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 57871

List of positive integer factors of 57871 that divides 57871 without a remainder.

1, 11, 5261

Step-4: Factors of 57882

List of positive integer factors of 57882 that divides 57871 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 57871 and 57882. The biggest common factor number is the GCF number.
So the greatest common factor 57871 and 57882 is 11.

Also check out the Least Common Multiple of 57871 and 57882