What is the Greatest Common Factor of 8864 and 8869?

Greatest common factor (GCF) of 8864 and 8869 is 1.

GCF(8864,8869) = 1

We will now calculate the prime factors of 8864 and 8869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8864 and 8869.

How to find the GCF of 8864 and 8869?

We will first find the prime factorization of 8864 and 8869. After we will calculate the factors of 8864 and 8869 and find the biggest common factor number .

Step-1: Prime Factorization of 8864

Prime factors of 8864 are 2, 277. Prime factorization of 8864 in exponential form is:

8864 = 2⁵ × 277¹

Step-2: Prime Factorization of 8869

Prime factors of 8869 are 7, 181. Prime factorization of 8869 in exponential form is:

8869 = 7² × 181¹

Step-3: Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432

Step-4: Factors of 8869

List of positive integer factors of 8869 that divides 8864 without a remainder.

1, 7, 49, 181, 1267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8864 and 8869. The biggest common factor number is the GCF number.
So the greatest common factor 8864 and 8869 is 1.

Also check out the Least Common Multiple of 8864 and 8869