What is the Greatest Common Factor of 18848 and 18866?

Greatest common factor (GCF) of 18848 and 18866 is 2.

GCF(18848,18866) = 2

We will now calculate the prime factors of 18848 and 18866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18848 and 18866.

How to find the GCF of 18848 and 18866?

We will first find the prime factorization of 18848 and 18866. After we will calculate the factors of 18848 and 18866 and find the biggest common factor number .

Step-1: Prime Factorization of 18848

Prime factors of 18848 are 2, 19, 31. Prime factorization of 18848 in exponential form is:

18848 = 2⁵ × 19¹ × 31¹

Step-2: Prime Factorization of 18866

Prime factors of 18866 are 2, 9433. Prime factorization of 18866 in exponential form is:

18866 = 2¹ × 9433¹

Step-3: Factors of 18848

List of positive integer factors of 18848 that divides 18848 without a remainder.

1, 2, 4, 8, 16, 19, 31, 32, 38, 62, 76, 124, 152, 248, 304, 496, 589, 608, 992, 1178, 2356, 4712, 9424

Step-4: Factors of 18866

List of positive integer factors of 18866 that divides 18848 without a remainder.

1, 2, 9433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18848 and 18866. The biggest common factor number is the GCF number.
So the greatest common factor 18848 and 18866 is 2.

Also check out the Least Common Multiple of 18848 and 18866