What is the Greatest Common Factor of 5825 and 5835?

Greatest common factor (GCF) of 5825 and 5835 is 5.

GCF(5825,5835) = 5

We will now calculate the prime factors of 5825 and 5835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5825 and 5835.

How to find the GCF of 5825 and 5835?

We will first find the prime factorization of 5825 and 5835. After we will calculate the factors of 5825 and 5835 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 5835

Prime factors of 5835 are 3, 5, 389. Prime factorization of 5835 in exponential form is:

5835 = 3¹ × 5¹ × 389¹

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 5835

List of positive integer factors of 5835 that divides 5825 without a remainder.

1, 3, 5, 15, 389, 1167, 1945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5825 and 5835. The biggest common factor number is the GCF number.
So the greatest common factor 5825 and 5835 is 5.

Also check out the Least Common Multiple of 5825 and 5835