What is the Greatest Common Factor of 21825 and 21831?

Greatest common factor (GCF) of 21825 and 21831 is 3.

GCF(21825,21831) = 3

We will now calculate the prime factors of 21825 and 21831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21825 and 21831.

How to find the GCF of 21825 and 21831?

We will first find the prime factorization of 21825 and 21831. After we will calculate the factors of 21825 and 21831 and find the biggest common factor number .

Step-1: Prime Factorization of 21825

Prime factors of 21825 are 3, 5, 97. Prime factorization of 21825 in exponential form is:

21825 = 3² × 5² × 97¹

Step-2: Prime Factorization of 21831

Prime factors of 21831 are 3, 19, 383. Prime factorization of 21831 in exponential form is:

21831 = 3¹ × 19¹ × 383¹

Step-3: Factors of 21825

List of positive integer factors of 21825 that divides 21825 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 97, 225, 291, 485, 873, 1455, 2425, 4365, 7275

Step-4: Factors of 21831

List of positive integer factors of 21831 that divides 21825 without a remainder.

1, 3, 19, 57, 383, 1149, 7277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21825 and 21831. The biggest common factor number is the GCF number.
So the greatest common factor 21825 and 21831 is 3.

Also check out the Least Common Multiple of 21825 and 21831