What is the Greatest Common Factor of 18848 and 18864?

Greatest common factor (GCF) of 18848 and 18864 is 16.

GCF(18848,18864) = 16

We will now calculate the prime factors of 18848 and 18864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18848 and 18864.

How to find the GCF of 18848 and 18864?

We will first find the prime factorization of 18848 and 18864. After we will calculate the factors of 18848 and 18864 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 18864

Prime factors of 18864 are 2, 3, 131. Prime factorization of 18864 in exponential form is:

18864 = 2⁴ × 3² × 131¹

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 18864

List of positive integer factors of 18864 that divides 18848 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 131, 144, 262, 393, 524, 786, 1048, 1179, 1572, 2096, 2358, 3144, 4716, 6288, 9432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18848 and 18864. The biggest common factor number is the GCF number.
So the greatest common factor 18848 and 18864 is 16.

Also check out the Least Common Multiple of 18848 and 18864