What is the Greatest Common Factor of 825 and 835?

Greatest common factor (GCF) of 825 and 835 is 5.

GCF(825,835) = 5

We will now calculate the prime factors of 825 and 835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 825 and 835.

How to find the GCF of 825 and 835?

We will first find the prime factorization of 825 and 835. After we will calculate the factors of 825 and 835 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 835

Prime factors of 835 are 5, 167. Prime factorization of 835 in exponential form is:

835 = 5¹ × 167¹

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 835

List of positive integer factors of 835 that divides 825 without a remainder.

1, 5, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 825 and 835. The biggest common factor number is the GCF number.
So the greatest common factor 825 and 835 is 5.

Also check out the Least Common Multiple of 825 and 835