What is the Greatest Common Factor of 47829 and 47839?

Greatest common factor (GCF) of 47829 and 47839 is 1.

GCF(47829,47839) = 1

We will now calculate the prime factors of 47829 and 47839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47829 and 47839.

How to find the GCF of 47829 and 47839?

We will first find the prime factorization of 47829 and 47839. After we will calculate the factors of 47829 and 47839 and find the biggest common factor number .

Step-1: Prime Factorization of 47829

Prime factors of 47829 are 3, 107, 149. Prime factorization of 47829 in exponential form is:

47829 = 3¹ × 107¹ × 149¹

Step-2: Prime Factorization of 47839

Prime factors of 47839 are 11, 4349. Prime factorization of 47839 in exponential form is:

47839 = 11¹ × 4349¹

Step-3: Factors of 47829

List of positive integer factors of 47829 that divides 47829 without a remainder.

1, 3, 107, 149, 321, 447, 15943

Step-4: Factors of 47839

List of positive integer factors of 47839 that divides 47829 without a remainder.

1, 11, 4349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47829 and 47839. The biggest common factor number is the GCF number.
So the greatest common factor 47829 and 47839 is 1.

Also check out the Least Common Multiple of 47829 and 47839