What is the Greatest Common Factor of 10848 and 10864?

Greatest common factor (GCF) of 10848 and 10864 is 16.

GCF(10848,10864) = 16

We will now calculate the prime factors of 10848 and 10864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10848 and 10864.

How to find the GCF of 10848 and 10864?

We will first find the prime factorization of 10848 and 10864. After we will calculate the factors of 10848 and 10864 and find the biggest common factor number .

Step-1: Prime Factorization of 10848

Prime factors of 10848 are 2, 3, 113. Prime factorization of 10848 in exponential form is:

10848 = 2⁵ × 3¹ × 113¹

Step-2: Prime Factorization of 10864

Prime factors of 10864 are 2, 7, 97. Prime factorization of 10864 in exponential form is:

10864 = 2⁴ × 7¹ × 97¹

Step-3: Factors of 10848

List of positive integer factors of 10848 that divides 10848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 3616, 5424

Step-4: Factors of 10864

List of positive integer factors of 10864 that divides 10848 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 97, 112, 194, 388, 679, 776, 1358, 1552, 2716, 5432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10848 and 10864. The biggest common factor number is the GCF number.
So the greatest common factor 10848 and 10864 is 16.

Also check out the Least Common Multiple of 10848 and 10864