What is the Greatest Common Factor of 8854 and 8869?

Greatest common factor (GCF) of 8854 and 8869 is 1.

GCF(8854,8869) = 1

We will now calculate the prime factors of 8854 and 8869, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8854 and 8869.

How to find the GCF of 8854 and 8869?

We will first find the prime factorization of 8854 and 8869. After we will calculate the factors of 8854 and 8869 and find the biggest common factor number .

Step-1: Prime Factorization of 8854

Prime factors of 8854 are 2, 19, 233. Prime factorization of 8854 in exponential form is:

8854 = 2¹ × 19¹ × 233¹

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 8854

List of positive integer factors of 8854 that divides 8854 without a remainder.

1, 2, 19, 38, 233, 466, 4427

Step-4: Factors of 8869

List of positive integer factors of 8869 that divides 8854 without a remainder.

1, 7, 49, 181, 1267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8854 and 8869. The biggest common factor number is the GCF number.
So the greatest common factor 8854 and 8869 is 1.

Also check out the Least Common Multiple of 8854 and 8869