What is the Greatest Common Factor of 5838 and 5853?

Greatest common factor (GCF) of 5838 and 5853 is 3.

GCF(5838,5853) = 3

We will now calculate the prime factors of 5838 and 5853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5838 and 5853.

How to find the GCF of 5838 and 5853?

We will first find the prime factorization of 5838 and 5853. After we will calculate the factors of 5838 and 5853 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 5853

Prime factors of 5853 are 3, 1951. Prime factorization of 5853 in exponential form is:

5853 = 3¹ × 1951¹

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 5853

List of positive integer factors of 5853 that divides 5838 without a remainder.

1, 3, 1951

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5838 and 5853. The biggest common factor number is the GCF number.
So the greatest common factor 5838 and 5853 is 3.

Also check out the Least Common Multiple of 5838 and 5853