What is the Greatest Common Factor of 10836 and 10848?

Greatest common factor (GCF) of 10836 and 10848 is 12.

GCF(10836,10848) = 12

We will now calculate the prime factors of 10836 and 10848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10836 and 10848.

How to find the GCF of 10836 and 10848?

We will first find the prime factorization of 10836 and 10848. After we will calculate the factors of 10836 and 10848 and find the biggest common factor number .

Step-1: Prime Factorization of 10836

Prime factors of 10836 are 2, 3, 7, 43. Prime factorization of 10836 in exponential form is:

10836 = 2² × 3² × 7¹ × 43¹

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 10836

List of positive integer factors of 10836 that divides 10836 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 43, 63, 84, 86, 126, 129, 172, 252, 258, 301, 387, 516, 602, 774, 903, 1204, 1548, 1806, 2709, 3612, 5418

Step-4: Factors of 10848

List of positive integer factors of 10848 that divides 10836 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 10836 and 10848. The biggest common factor number is the GCF number.
So the greatest common factor 10836 and 10848 is 12.

Also check out the Least Common Multiple of 10836 and 10848