What is the Greatest Common Factor of 18825 and 18845?

Greatest common factor (GCF) of 18825 and 18845 is 5.

GCF(18825,18845) = 5

We will now calculate the prime factors of 18825 and 18845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18825 and 18845.

How to find the GCF of 18825 and 18845?

We will first find the prime factorization of 18825 and 18845. After we will calculate the factors of 18825 and 18845 and find the biggest common factor number .

Step-1: Prime Factorization of 18825

Prime factors of 18825 are 3, 5, 251. Prime factorization of 18825 in exponential form is:

18825 = 3¹ × 5² × 251¹

Step-2: Prime Factorization of 18845

Prime factors of 18845 are 5, 3769. Prime factorization of 18845 in exponential form is:

18845 = 5¹ × 3769¹

Step-3: Factors of 18825

List of positive integer factors of 18825 that divides 18825 without a remainder.

1, 3, 5, 15, 25, 75, 251, 753, 1255, 3765, 6275

Step-4: Factors of 18845

List of positive integer factors of 18845 that divides 18825 without a remainder.

1, 5, 3769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18825 and 18845. The biggest common factor number is the GCF number.
So the greatest common factor 18825 and 18845 is 5.

Also check out the Least Common Multiple of 18825 and 18845