What is the Greatest Common Factor of 30843 and 30858?

Greatest common factor (GCF) of 30843 and 30858 is 3.

GCF(30843,30858) = 3

We will now calculate the prime factors of 30843 and 30858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30843 and 30858.

How to find the GCF of 30843 and 30858?

We will first find the prime factorization of 30843 and 30858. After we will calculate the factors of 30843 and 30858 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30858

Prime factors of 30858 are 2, 3, 37, 139. Prime factorization of 30858 in exponential form is:

30858 = 2¹ × 3¹ × 37¹ × 139¹

Step-3: Factors of 30843

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

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

Step-4: Factors of 30858

List of positive integer factors of 30858 that divides 30843 without a remainder.

1, 2, 3, 6, 37, 74, 111, 139, 222, 278, 417, 834, 5143, 10286, 15429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30843 and 30858. The biggest common factor number is the GCF number.
So the greatest common factor 30843 and 30858 is 3.

Also check out the Least Common Multiple of 30843 and 30858