What is the Greatest Common Factor of 5838 and 5854?

Greatest common factor (GCF) of 5838 and 5854 is 2.

GCF(5838,5854) = 2

We will now calculate the prime factors of 5838 and 5854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5838 and 5854.

How to find the GCF of 5838 and 5854?

We will first find the prime factorization of 5838 and 5854. After we will calculate the factors of 5838 and 5854 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 5854

Prime factors of 5854 are 2, 2927. Prime factorization of 5854 in exponential form is:

5854 = 2¹ × 2927¹

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 5854

List of positive integer factors of 5854 that divides 5838 without a remainder.

1, 2, 2927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5838 and 5854. The biggest common factor number is the GCF number.
So the greatest common factor 5838 and 5854 is 2.

Also check out the Least Common Multiple of 5838 and 5854