What is the Greatest Common Factor of 10848 and 10853?

Greatest common factor (GCF) of 10848 and 10853 is 1.

GCF(10848,10853) = 1

We will now calculate the prime factors of 10848 and 10853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10848 and 10853.

How to find the GCF of 10848 and 10853?

We will first find the prime factorization of 10848 and 10853. After we will calculate the factors of 10848 and 10853 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 10853

Prime factors of 10853 are 10853. Prime factorization of 10853 in exponential form is:

10853 = 10853¹

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 10853

List of positive integer factors of 10853 that divides 10848 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10848 and 10853. The biggest common factor number is the GCF number.
So the greatest common factor 10848 and 10853 is 1.

Also check out the Least Common Multiple of 10848 and 10853