What is the Greatest Common Factor of 34848 and 34859?

Greatest common factor (GCF) of 34848 and 34859 is 11.

GCF(34848,34859) = 11

We will now calculate the prime factors of 34848 and 34859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34848 and 34859.

How to find the GCF of 34848 and 34859?

We will first find the prime factorization of 34848 and 34859. After we will calculate the factors of 34848 and 34859 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34859

Prime factors of 34859 are 11, 3169. Prime factorization of 34859 in exponential form is:

34859 = 11¹ × 3169¹

Step-3: Factors of 34848

List of positive integer factors of 34848 that divides 34848 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

Step-4: Factors of 34859

List of positive integer factors of 34859 that divides 34848 without a remainder.

1, 11, 3169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34848 and 34859. The biggest common factor number is the GCF number.
So the greatest common factor 34848 and 34859 is 11.

Also check out the Least Common Multiple of 34848 and 34859