What is the Greatest Common Factor of 18849 and 18864?

Greatest common factor (GCF) of 18849 and 18864 is 3.

GCF(18849,18864) = 3

We will now calculate the prime factors of 18849 and 18864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18849 and 18864.

How to find the GCF of 18849 and 18864?

We will first find the prime factorization of 18849 and 18864. After we will calculate the factors of 18849 and 18864 and find the biggest common factor number .

Step-1: Prime Factorization of 18849

Prime factors of 18849 are 3, 61, 103. Prime factorization of 18849 in exponential form is:

18849 = 3¹ × 61¹ × 103¹

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 18849

List of positive integer factors of 18849 that divides 18849 without a remainder.

1, 3, 61, 103, 183, 309, 6283

Step-4: Factors of 18864

List of positive integer factors of 18864 that divides 18849 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 18849 and 18864. The biggest common factor number is the GCF number.
So the greatest common factor 18849 and 18864 is 3.

Also check out the Least Common Multiple of 18849 and 18864