What is the Greatest Common Factor of 18864 and 18879?

Greatest common factor (GCF) of 18864 and 18879 is 3.

GCF(18864,18879) = 3

We will now calculate the prime factors of 18864 and 18879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18864 and 18879.

How to find the GCF of 18864 and 18879?

We will first find the prime factorization of 18864 and 18879. After we will calculate the factors of 18864 and 18879 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 18879

Prime factors of 18879 are 3, 7, 29, 31. Prime factorization of 18879 in exponential form is:

18879 = 3¹ × 7¹ × 29¹ × 31¹

Step-3: Factors of 18864

List of positive integer factors of 18864 that divides 18864 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

Step-4: Factors of 18879

List of positive integer factors of 18879 that divides 18864 without a remainder.

1, 3, 7, 21, 29, 31, 87, 93, 203, 217, 609, 651, 899, 2697, 6293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18864 and 18879. The biggest common factor number is the GCF number.
So the greatest common factor 18864 and 18879 is 3.

Also check out the Least Common Multiple of 18864 and 18879