What is the Greatest Common Factor of 10832 and 10848?

Greatest common factor (GCF) of 10832 and 10848 is 16.

GCF(10832,10848) = 16

We will now calculate the prime factors of 10832 and 10848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10832 and 10848.

How to find the GCF of 10832 and 10848?

We will first find the prime factorization of 10832 and 10848. After we will calculate the factors of 10832 and 10848 and find the biggest common factor number .

Step-1: Prime Factorization of 10832

Prime factors of 10832 are 2, 677. Prime factorization of 10832 in exponential form is:

10832 = 2⁴ × 677¹

Step-2: 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-3: Factors of 10832

List of positive integer factors of 10832 that divides 10832 without a remainder.

1, 2, 4, 8, 16, 677, 1354, 2708, 5416

Step-4: Factors of 10848

List of positive integer factors of 10848 that divides 10832 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10832 and 10848. The biggest common factor number is the GCF number.
So the greatest common factor 10832 and 10848 is 16.

Also check out the Least Common Multiple of 10832 and 10848