What is the Greatest Common Factor of 18825 and 18838?

Greatest common factor (GCF) of 18825 and 18838 is 1.

GCF(18825,18838) = 1

We will now calculate the prime factors of 18825 and 18838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18825 and 18838.

How to find the GCF of 18825 and 18838?

We will first find the prime factorization of 18825 and 18838. After we will calculate the factors of 18825 and 18838 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 18838

Prime factors of 18838 are 2, 9419. Prime factorization of 18838 in exponential form is:

18838 = 2¹ × 9419¹

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 18838

List of positive integer factors of 18838 that divides 18825 without a remainder.

1, 2, 9419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18825 and 18838. The biggest common factor number is the GCF number.
So the greatest common factor 18825 and 18838 is 1.

Also check out the Least Common Multiple of 18825 and 18838