What is the Greatest Common Factor of 28813 and 28825?

Greatest common factor (GCF) of 28813 and 28825 is 1.

GCF(28813,28825) = 1

We will now calculate the prime factors of 28813 and 28825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28813 and 28825.

How to find the GCF of 28813 and 28825?

We will first find the prime factorization of 28813 and 28825. After we will calculate the factors of 28813 and 28825 and find the biggest common factor number .

Step-1: Prime Factorization of 28813

Prime factors of 28813 are 28813. Prime factorization of 28813 in exponential form is:

28813 = 28813¹

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 28813

List of positive integer factors of 28813 that divides 28813 without a remainder.

Step-4: Factors of 28825

List of positive integer factors of 28825 that divides 28813 without a remainder.

1, 5, 25, 1153, 5765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28813 and 28825. The biggest common factor number is the GCF number.
So the greatest common factor 28813 and 28825 is 1.

Also check out the Least Common Multiple of 28813 and 28825