What is the Greatest Common Factor of 38829 and 38835?

Greatest common factor (GCF) of 38829 and 38835 is 3.

GCF(38829,38835) = 3

We will now calculate the prime factors of 38829 and 38835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38829 and 38835.

How to find the GCF of 38829 and 38835?

We will first find the prime factorization of 38829 and 38835. After we will calculate the factors of 38829 and 38835 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 38835

Prime factors of 38835 are 3, 5, 863. Prime factorization of 38835 in exponential form is:

38835 = 3² × 5¹ × 863¹

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 38835

List of positive integer factors of 38835 that divides 38829 without a remainder.

1, 3, 5, 9, 15, 45, 863, 2589, 4315, 7767, 12945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38829 and 38835. The biggest common factor number is the GCF number.
So the greatest common factor 38829 and 38835 is 3.

Also check out the Least Common Multiple of 38829 and 38835