What is the Greatest Common Factor of 57838 and 57850?

Greatest common factor (GCF) of 57838 and 57850 is 2.

GCF(57838,57850) = 2

We will now calculate the prime factors of 57838 and 57850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57838 and 57850.

How to find the GCF of 57838 and 57850?

We will first find the prime factorization of 57838 and 57850. After we will calculate the factors of 57838 and 57850 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 57850

Prime factors of 57850 are 2, 5, 13, 89. Prime factorization of 57850 in exponential form is:

57850 = 2¹ × 5² × 13¹ × 89¹

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 57850

List of positive integer factors of 57850 that divides 57838 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 89, 130, 178, 325, 445, 650, 890, 1157, 2225, 2314, 4450, 5785, 11570, 28925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57838 and 57850. The biggest common factor number is the GCF number.
So the greatest common factor 57838 and 57850 is 2.

Also check out the Least Common Multiple of 57838 and 57850