What is the Greatest Common Factor of 34830 and 34844?

Greatest common factor (GCF) of 34830 and 34844 is 2.

GCF(34830,34844) = 2

We will now calculate the prime factors of 34830 and 34844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34830 and 34844.

How to find the GCF of 34830 and 34844?

We will first find the prime factorization of 34830 and 34844. After we will calculate the factors of 34830 and 34844 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 34844

Prime factors of 34844 are 2, 31, 281. Prime factorization of 34844 in exponential form is:

34844 = 2² × 31¹ × 281¹

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 34844

List of positive integer factors of 34844 that divides 34830 without a remainder.

1, 2, 4, 31, 62, 124, 281, 562, 1124, 8711, 17422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34830 and 34844. The biggest common factor number is the GCF number.
So the greatest common factor 34830 and 34844 is 2.

Also check out the Least Common Multiple of 34830 and 34844