What is the Greatest Common Factor of 5830 and 5848?

Greatest common factor (GCF) of 5830 and 5848 is 2.

GCF(5830,5848) = 2

We will now calculate the prime factors of 5830 and 5848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5830 and 5848.

How to find the GCF of 5830 and 5848?

We will first find the prime factorization of 5830 and 5848. After we will calculate the factors of 5830 and 5848 and find the biggest common factor number .

Step-1: Prime Factorization of 5830

Prime factors of 5830 are 2, 5, 11, 53. Prime factorization of 5830 in exponential form is:

5830 = 2¹ × 5¹ × 11¹ × 53¹

Step-2: Prime Factorization of 5848

Prime factors of 5848 are 2, 17, 43. Prime factorization of 5848 in exponential form is:

5848 = 2³ × 17¹ × 43¹

Step-3: Factors of 5830

List of positive integer factors of 5830 that divides 5830 without a remainder.

1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 265, 530, 583, 1166, 2915

Step-4: Factors of 5848

List of positive integer factors of 5848 that divides 5830 without a remainder.

1, 2, 4, 8, 17, 34, 43, 68, 86, 136, 172, 344, 731, 1462, 2924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5830 and 5848. The biggest common factor number is the GCF number.
So the greatest common factor 5830 and 5848 is 2.

Also check out the Least Common Multiple of 5830 and 5848