What is the Greatest Common Factor of 30829 and 30843?

Greatest common factor (GCF) of 30829 and 30843 is 1.

GCF(30829,30843) = 1

We will now calculate the prime factors of 30829 and 30843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30829 and 30843.

How to find the GCF of 30829 and 30843?

We will first find the prime factorization of 30829 and 30843. After we will calculate the factors of 30829 and 30843 and find the biggest common factor number .

Step-1: Prime Factorization of 30829

Prime factors of 30829 are 30829. Prime factorization of 30829 in exponential form is:

30829 = 30829¹

Step-2: Prime Factorization of 30843

Prime factors of 30843 are 3, 23, 149. Prime factorization of 30843 in exponential form is:

30843 = 3² × 23¹ × 149¹

Step-3: Factors of 30829

List of positive integer factors of 30829 that divides 30829 without a remainder.

Step-4: Factors of 30843

List of positive integer factors of 30843 that divides 30829 without a remainder.

1, 3, 9, 23, 69, 149, 207, 447, 1341, 3427, 10281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30829 and 30843. The biggest common factor number is the GCF number.
So the greatest common factor 30829 and 30843 is 1.

Also check out the Least Common Multiple of 30829 and 30843