What is the Greatest Common Factor of 5838 and 5851?

Greatest common factor (GCF) of 5838 and 5851 is 1.

GCF(5838,5851) = 1

We will now calculate the prime factors of 5838 and 5851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5838 and 5851.

How to find the GCF of 5838 and 5851?

We will first find the prime factorization of 5838 and 5851. After we will calculate the factors of 5838 and 5851 and find the biggest common factor number .

Step-1: Prime Factorization of 5838

Prime factors of 5838 are 2, 3, 7, 139. Prime factorization of 5838 in exponential form is:

5838 = 2¹ × 3¹ × 7¹ × 139¹

Step-2: Prime Factorization of 5851

Prime factors of 5851 are 5851. Prime factorization of 5851 in exponential form is:

5851 = 5851¹

Step-3: Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919

Step-4: Factors of 5851

List of positive integer factors of 5851 that divides 5838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5838 and 5851. The biggest common factor number is the GCF number.
So the greatest common factor 5838 and 5851 is 1.

Also check out the Least Common Multiple of 5838 and 5851