What is the Greatest Common Factor of 3820 and 3838?

Greatest common factor (GCF) of 3820 and 3838 is 2.

GCF(3820,3838) = 2

We will now calculate the prime factors of 3820 and 3838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3820 and 3838.

How to find the GCF of 3820 and 3838?

We will first find the prime factorization of 3820 and 3838. After we will calculate the factors of 3820 and 3838 and find the biggest common factor number .

Step-1: Prime Factorization of 3820

Prime factors of 3820 are 2, 5, 191. Prime factorization of 3820 in exponential form is:

3820 = 2² × 5¹ × 191¹

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 3820

List of positive integer factors of 3820 that divides 3820 without a remainder.

1, 2, 4, 5, 10, 20, 191, 382, 764, 955, 1910

Step-4: Factors of 3838

List of positive integer factors of 3838 that divides 3820 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3820 and 3838. The biggest common factor number is the GCF number.
So the greatest common factor 3820 and 3838 is 2.

Also check out the Least Common Multiple of 3820 and 3838