What is the Greatest Common Factor of 38829 and 38843?

Greatest common factor (GCF) of 38829 and 38843 is 7.

GCF(38829,38843) = 7

We will now calculate the prime factors of 38829 and 38843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38829 and 38843.

How to find the GCF of 38829 and 38843?

We will first find the prime factorization of 38829 and 38843. After we will calculate the factors of 38829 and 38843 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38843

Prime factors of 38843 are 7, 31, 179. Prime factorization of 38843 in exponential form is:

38843 = 7¹ × 31¹ × 179¹

Step-3: Factors of 38829

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

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

Step-4: Factors of 38843

List of positive integer factors of 38843 that divides 38829 without a remainder.

1, 7, 31, 179, 217, 1253, 5549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38829 and 38843. The biggest common factor number is the GCF number.
So the greatest common factor 38829 and 38843 is 7.

Also check out the Least Common Multiple of 38829 and 38843