What is the Greatest Common Factor of 57838 and 57856?

Greatest common factor (GCF) of 57838 and 57856 is 2.

GCF(57838,57856) = 2

We will now calculate the prime factors of 57838 and 57856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57838 and 57856.

How to find the GCF of 57838 and 57856?

We will first find the prime factorization of 57838 and 57856. After we will calculate the factors of 57838 and 57856 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 57856

Prime factors of 57856 are 2, 113. Prime factorization of 57856 in exponential form is:

57856 = 2⁹ × 113¹

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 57856

List of positive integer factors of 57856 that divides 57838 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 128, 226, 256, 452, 512, 904, 1808, 3616, 7232, 14464, 28928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57838 and 57856. The biggest common factor number is the GCF number.
So the greatest common factor 57838 and 57856 is 2.

Also check out the Least Common Multiple of 57838 and 57856