What is the Greatest Common Factor of 864 and 884?

Greatest common factor (GCF) of 864 and 884 is 4.

GCF(864,884) = 4

We will now calculate the prime factors of 864 and 884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 864 and 884.

How to find the GCF of 864 and 884?

We will first find the prime factorization of 864 and 884. After we will calculate the factors of 864 and 884 and find the biggest common factor number .

Step-1: Prime Factorization of 864

Prime factors of 864 are 2, 3. Prime factorization of 864 in exponential form is:

864 = 2⁵ × 3³

Step-2: Prime Factorization of 884

Prime factors of 884 are 2, 13, 17. Prime factorization of 884 in exponential form is:

884 = 2² × 13¹ × 17¹

Step-3: Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432

Step-4: Factors of 884

List of positive integer factors of 884 that divides 864 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 864 and 884. The biggest common factor number is the GCF number.
So the greatest common factor 864 and 884 is 4.

Also check out the Least Common Multiple of 864 and 884