What is the Greatest Common Factor of 825 and 843?

Greatest common factor (GCF) of 825 and 843 is 3.

GCF(825,843) = 3

We will now calculate the prime factors of 825 and 843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 825 and 843.

How to find the GCF of 825 and 843?

We will first find the prime factorization of 825 and 843. After we will calculate the factors of 825 and 843 and find the biggest common factor number .

Step-1: Prime Factorization of 825

Prime factors of 825 are 3, 5, 11. Prime factorization of 825 in exponential form is:

825 = 3¹ × 5² × 11¹

Step-2: Prime Factorization of 843

Prime factors of 843 are 3, 281. Prime factorization of 843 in exponential form is:

843 = 3¹ × 281¹

Step-3: Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275

Step-4: Factors of 843

List of positive integer factors of 843 that divides 825 without a remainder.

1, 3, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 825 and 843. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 843 is 3.

Also check out the Least Common Multiple of 825 and 843