What is the Greatest Common Factor of 3825 and 3838?

Greatest common factor (GCF) of 3825 and 3838 is 1.

GCF(3825,3838) = 1

We will now calculate the prime factors of 3825 and 3838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3825 and 3838.

How to find the GCF of 3825 and 3838?

We will first find the prime factorization of 3825 and 3838. After we will calculate the factors of 3825 and 3838 and find the biggest common factor number .

Step-1: Prime Factorization of 3825

Prime factors of 3825 are 3, 5, 17. Prime factorization of 3825 in exponential form is:

3825 = 3² × 5² × 17¹

Step-2: Prime Factorization of 3838

Prime factors of 3838 are 2, 19, 101. Prime factorization of 3838 in exponential form is:

3838 = 2¹ × 19¹ × 101¹

Step-3: Factors of 3825

List of positive integer factors of 3825 that divides 3825 without a remainder.

1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275

Step-4: Factors of 3838

List of positive integer factors of 3838 that divides 3825 without a remainder.

1, 2, 19, 38, 101, 202, 1919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3825 and 3838. The biggest common factor number is the GCF number.
So the greatest common factor 3825 and 3838 is 1.

Also check out the Least Common Multiple of 3825 and 3838