What is the Greatest Common Factor of 5838 and 5852?

Greatest common factor (GCF) of 5838 and 5852 is 14.

GCF(5838,5852) = 14

We will now calculate the prime factors of 5838 and 5852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5838 and 5852.

How to find the GCF of 5838 and 5852?

We will first find the prime factorization of 5838 and 5852. After we will calculate the factors of 5838 and 5852 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 5852

Prime factors of 5852 are 2, 7, 11, 19. Prime factorization of 5852 in exponential form is:

5852 = 2² × 7¹ × 11¹ × 19¹

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 5852

List of positive integer factors of 5852 that divides 5838 without a remainder.

1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5838 and 5852. The biggest common factor number is the GCF number.
So the greatest common factor 5838 and 5852 is 14.

Also check out the Least Common Multiple of 5838 and 5852