What is the Greatest Common Factor of 57874 and 57882?

Greatest common factor (GCF) of 57874 and 57882 is 2.

GCF(57874,57882) = 2

We will now calculate the prime factors of 57874 and 57882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57874 and 57882.

How to find the GCF of 57874 and 57882?

We will first find the prime factorization of 57874 and 57882. After we will calculate the factors of 57874 and 57882 and find the biggest common factor number .

Step-1: Prime Factorization of 57874

Prime factors of 57874 are 2, 19, 1523. Prime factorization of 57874 in exponential form is:

57874 = 2¹ × 19¹ × 1523¹

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 57874

List of positive integer factors of 57874 that divides 57874 without a remainder.

1, 2, 19, 38, 1523, 3046, 28937

Step-4: Factors of 57882

List of positive integer factors of 57882 that divides 57874 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 57874 and 57882. The biggest common factor number is the GCF number.
So the greatest common factor 57874 and 57882 is 2.

Also check out the Least Common Multiple of 57874 and 57882