What is the Greatest Common Factor of 3838 and 3857?

Greatest common factor (GCF) of 3838 and 3857 is 19.

GCF(3838,3857) = 19

We will now calculate the prime factors of 3838 and 3857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3838 and 3857.

How to find the GCF of 3838 and 3857?

We will first find the prime factorization of 3838 and 3857. After we will calculate the factors of 3838 and 3857 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3857

Prime factors of 3857 are 7, 19, 29. Prime factorization of 3857 in exponential form is:

3857 = 7¹ × 19¹ × 29¹

Step-3: Factors of 3838

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

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

Step-4: Factors of 3857

List of positive integer factors of 3857 that divides 3838 without a remainder.

1, 7, 19, 29, 133, 203, 551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3838 and 3857. The biggest common factor number is the GCF number.
So the greatest common factor 3838 and 3857 is 19.

Also check out the Least Common Multiple of 3838 and 3857