What is the Greatest Common Factor of 28805 and 28825?

Greatest common factor (GCF) of 28805 and 28825 is 5.

GCF(28805,28825) = 5

We will now calculate the prime factors of 28805 and 28825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28805 and 28825.

How to find the GCF of 28805 and 28825?

We will first find the prime factorization of 28805 and 28825. After we will calculate the factors of 28805 and 28825 and find the biggest common factor number .

Step-1: Prime Factorization of 28805

Prime factors of 28805 are 5, 7, 823. Prime factorization of 28805 in exponential form is:

28805 = 5¹ × 7¹ × 823¹

Step-2: Prime Factorization of 28825

Prime factors of 28825 are 5, 1153. Prime factorization of 28825 in exponential form is:

28825 = 5² × 1153¹

Step-3: Factors of 28805

List of positive integer factors of 28805 that divides 28805 without a remainder.

1, 5, 7, 35, 823, 4115, 5761

Step-4: Factors of 28825

List of positive integer factors of 28825 that divides 28805 without a remainder.

1, 5, 25, 1153, 5765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28805 and 28825. The biggest common factor number is the GCF number.
So the greatest common factor 28805 and 28825 is 5.

Also check out the Least Common Multiple of 28805 and 28825