What is the Greatest Common Factor of 5814 and 5825?

Greatest common factor (GCF) of 5814 and 5825 is 1.

GCF(5814,5825) = 1

We will now calculate the prime factors of 5814 and 5825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5814 and 5825.

How to find the GCF of 5814 and 5825?

We will first find the prime factorization of 5814 and 5825. After we will calculate the factors of 5814 and 5825 and find the biggest common factor number .

Step-1: Prime Factorization of 5814

Prime factors of 5814 are 2, 3, 17, 19. Prime factorization of 5814 in exponential form is:

5814 = 2¹ × 3² × 17¹ × 19¹

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 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1, 2, 3, 6, 9, 17, 18, 19, 34, 38, 51, 57, 102, 114, 153, 171, 306, 323, 342, 646, 969, 1938, 2907

Step-4: Factors of 5825

List of positive integer factors of 5825 that divides 5814 without a remainder.

1, 5, 25, 233, 1165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5814 and 5825. The biggest common factor number is the GCF number.
So the greatest common factor 5814 and 5825 is 1.

Also check out the Least Common Multiple of 5814 and 5825