What is the Greatest Common Factor of 5825 and 5830?

Greatest common factor (GCF) of 5825 and 5830 is 5.

GCF(5825,5830) = 5

We will now calculate the prime factors of 5825 and 5830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5825 and 5830.

How to find the GCF of 5825 and 5830?

We will first find the prime factorization of 5825 and 5830. After we will calculate the factors of 5825 and 5830 and find the biggest common factor number .

Step-1: Prime Factorization of 5825

Prime factors of 5825 are 5, 233. Prime factorization of 5825 in exponential form is:

5825 = 5² × 233¹

Step-2: 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-3: Factors of 5825

List of positive integer factors of 5825 that divides 5825 without a remainder.

1, 5, 25, 233, 1165

Step-4: Factors of 5830

List of positive integer factors of 5830 that divides 5825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5825 and 5830. The biggest common factor number is the GCF number.
So the greatest common factor 5825 and 5830 is 5.

Also check out the Least Common Multiple of 5825 and 5830