What is the Greatest Common Factor of 34848 and 34852?

Greatest common factor (GCF) of 34848 and 34852 is 4.

GCF(34848,34852) = 4

We will now calculate the prime factors of 34848 and 34852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34848 and 34852.

How to find the GCF of 34848 and 34852?

We will first find the prime factorization of 34848 and 34852. After we will calculate the factors of 34848 and 34852 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 34852

Prime factors of 34852 are 2, 8713. Prime factorization of 34852 in exponential form is:

34852 = 2² × 8713¹

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 34852

List of positive integer factors of 34852 that divides 34848 without a remainder.

1, 2, 4, 8713, 17426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34848 and 34852. The biggest common factor number is the GCF number.
So the greatest common factor 34848 and 34852 is 4.

Also check out the Least Common Multiple of 34848 and 34852