What is the Greatest Common Factor of 34830 and 34843?

Greatest common factor (GCF) of 34830 and 34843 is 1.

GCF(34830,34843) = 1

We will now calculate the prime factors of 34830 and 34843, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34830 and 34843.

How to find the GCF of 34830 and 34843?

We will first find the prime factorization of 34830 and 34843. After we will calculate the factors of 34830 and 34843 and find the biggest common factor number .

Step-1: Prime Factorization of 34830

Prime factors of 34830 are 2, 3, 5, 43. Prime factorization of 34830 in exponential form is:

34830 = 2¹ × 3⁴ × 5¹ × 43¹

Step-2: Prime Factorization of 34843

Prime factors of 34843 are 34843. Prime factorization of 34843 in exponential form is:

34843 = 34843¹

Step-3: Factors of 34830

List of positive integer factors of 34830 that divides 34830 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 43, 45, 54, 81, 86, 90, 129, 135, 162, 215, 258, 270, 387, 405, 430, 645, 774, 810, 1161, 1290, 1935, 2322, 3483, 3870, 5805, 6966, 11610, 17415

Step-4: Factors of 34843

List of positive integer factors of 34843 that divides 34830 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34830 and 34843. The biggest common factor number is the GCF number.
So the greatest common factor 34830 and 34843 is 1.

Also check out the Least Common Multiple of 34830 and 34843