What is the Greatest Common Factor of 57854 and 57874?

Greatest common factor (GCF) of 57854 and 57874 is 2.

GCF(57854,57874) = 2

We will now calculate the prime factors of 57854 and 57874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57854 and 57874.

How to find the GCF of 57854 and 57874?

We will first find the prime factorization of 57854 and 57874. After we will calculate the factors of 57854 and 57874 and find the biggest common factor number .

Step-1: Prime Factorization of 57854

Prime factors of 57854 are 2, 28927. Prime factorization of 57854 in exponential form is:

57854 = 2¹ × 28927¹

Step-2: 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-3: Factors of 57854

List of positive integer factors of 57854 that divides 57854 without a remainder.

1, 2, 28927

Step-4: Factors of 57874

List of positive integer factors of 57874 that divides 57854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57854 and 57874. The biggest common factor number is the GCF number.
So the greatest common factor 57854 and 57874 is 2.

Also check out the Least Common Multiple of 57854 and 57874