What is the Greatest Common Factor of 34844 and 34848?

Greatest common factor (GCF) of 34844 and 34848 is 4.

GCF(34844,34848) = 4

We will now calculate the prime factors of 34844 and 34848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34844 and 34848.

How to find the GCF of 34844 and 34848?

We will first find the prime factorization of 34844 and 34848. After we will calculate the factors of 34844 and 34848 and find the biggest common factor number .

Step-1: 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-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 34844

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

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

Step-4: Factors of 34848

List of positive integer factors of 34848 that divides 34844 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 34844 and 34848. The biggest common factor number is the GCF number.
So the greatest common factor 34844 and 34848 is 4.

Also check out the Least Common Multiple of 34844 and 34848