What is the Greatest Common Factor of 27819 and 27825?

Greatest common factor (GCF) of 27819 and 27825 is 3.

GCF(27819,27825) = 3

We will now calculate the prime factors of 27819 and 27825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27819 and 27825.

How to find the GCF of 27819 and 27825?

We will first find the prime factorization of 27819 and 27825. After we will calculate the factors of 27819 and 27825 and find the biggest common factor number .

Step-1: Prime Factorization of 27819

Prime factors of 27819 are 3, 11, 281. Prime factorization of 27819 in exponential form is:

27819 = 3² × 11¹ × 281¹

Step-2: Prime Factorization of 27825

Prime factors of 27825 are 3, 5, 7, 53. Prime factorization of 27825 in exponential form is:

27825 = 3¹ × 5² × 7¹ × 53¹

Step-3: Factors of 27819

List of positive integer factors of 27819 that divides 27819 without a remainder.

1, 3, 9, 11, 33, 99, 281, 843, 2529, 3091, 9273

Step-4: Factors of 27825

List of positive integer factors of 27825 that divides 27819 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 53, 75, 105, 159, 175, 265, 371, 525, 795, 1113, 1325, 1855, 3975, 5565, 9275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27819 and 27825. The biggest common factor number is the GCF number.
So the greatest common factor 27819 and 27825 is 3.

Also check out the Least Common Multiple of 27819 and 27825