What is the Greatest Common Factor of 57838 and 57857?

Greatest common factor (GCF) of 57838 and 57857 is 1.

GCF(57838,57857) = 1

We will now calculate the prime factors of 57838 and 57857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57838 and 57857.

How to find the GCF of 57838 and 57857?

We will first find the prime factorization of 57838 and 57857. After we will calculate the factors of 57838 and 57857 and find the biggest common factor number .

Step-1: Prime Factorization of 57838

Prime factors of 57838 are 2, 11, 239. Prime factorization of 57838 in exponential form is:

57838 = 2¹ × 11² × 239¹

Step-2: Prime Factorization of 57857

Prime factors of 57857 are 47, 1231. Prime factorization of 57857 in exponential form is:

57857 = 47¹ × 1231¹

Step-3: Factors of 57838

List of positive integer factors of 57838 that divides 57838 without a remainder.

1, 2, 11, 22, 121, 239, 242, 478, 2629, 5258, 28919

Step-4: Factors of 57857

List of positive integer factors of 57857 that divides 57838 without a remainder.

1, 47, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57838 and 57857. The biggest common factor number is the GCF number.
So the greatest common factor 57838 and 57857 is 1.

Also check out the Least Common Multiple of 57838 and 57857