What is the Greatest Common Factor of 38814 and 38829?

Greatest common factor (GCF) of 38814 and 38829 is 3.

GCF(38814,38829) = 3

We will now calculate the prime factors of 38814 and 38829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38814 and 38829.

How to find the GCF of 38814 and 38829?

We will first find the prime factorization of 38814 and 38829. After we will calculate the factors of 38814 and 38829 and find the biggest common factor number .

Step-1: Prime Factorization of 38814

Prime factors of 38814 are 2, 3, 6469. Prime factorization of 38814 in exponential form is:

38814 = 2¹ × 3¹ × 6469¹

Step-2: Prime Factorization of 38829

Prime factors of 38829 are 3, 7, 43. Prime factorization of 38829 in exponential form is:

38829 = 3¹ × 7¹ × 43²

Step-3: Factors of 38814

List of positive integer factors of 38814 that divides 38814 without a remainder.

1, 2, 3, 6, 6469, 12938, 19407

Step-4: Factors of 38829

List of positive integer factors of 38829 that divides 38814 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903, 1849, 5547, 12943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38814 and 38829. The biggest common factor number is the GCF number.
So the greatest common factor 38814 and 38829 is 3.

Also check out the Least Common Multiple of 38814 and 38829