What is the Greatest Common Factor of 34830 and 34848?

Greatest common factor (GCF) of 34830 and 34848 is 18.

GCF(34830,34848) = 18

We will now calculate the prime factors of 34830 and 34848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34830 and 34848.

How to find the GCF of 34830 and 34848?

We will first find the prime factorization of 34830 and 34848. After we will calculate the factors of 34830 and 34848 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 34848

Prime factors of 34848 are 2, 3, 11. Prime factorization of 34848 in exponential form is:

34848 = 2⁵ × 3² × 11²

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 34848

List of positive integer factors of 34848 that divides 34830 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 121, 132, 144, 176, 198, 242, 264, 288, 352, 363, 396, 484, 528, 726, 792, 968, 1056, 1089, 1452, 1584, 1936, 2178, 2904, 3168, 3872, 4356, 5808, 8712, 11616, 17424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34830 and 34848. The biggest common factor number is the GCF number.
So the greatest common factor 34830 and 34848 is 18.

Also check out the Least Common Multiple of 34830 and 34848