What is the Greatest Common Factor of 5820 and 5825?

Greatest common factor (GCF) of 5820 and 5825 is 5.

GCF(5820,5825) = 5

We will now calculate the prime factors of 5820 and 5825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5820 and 5825.

How to find the GCF of 5820 and 5825?

We will first find the prime factorization of 5820 and 5825. After we will calculate the factors of 5820 and 5825 and find the biggest common factor number .

Step-1: Prime Factorization of 5820

Prime factors of 5820 are 2, 3, 5, 97. Prime factorization of 5820 in exponential form is:

5820 = 2² × 3¹ × 5¹ × 97¹

Step-2: Prime Factorization of 5825

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

5825 = 5² × 233¹

Step-3: Factors of 5820

List of positive integer factors of 5820 that divides 5820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 97, 194, 291, 388, 485, 582, 970, 1164, 1455, 1940, 2910

Step-4: Factors of 5825

List of positive integer factors of 5825 that divides 5820 without a remainder.

1, 5, 25, 233, 1165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5820 and 5825. The biggest common factor number is the GCF number.
So the greatest common factor 5820 and 5825 is 5.

Also check out the Least Common Multiple of 5820 and 5825