What is the Greatest Common Factor of 8888 and 8899?

Greatest common factor (GCF) of 8888 and 8899 is 11.

GCF(8888,8899) = 11

We will now calculate the prime factors of 8888 and 8899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8888 and 8899.

How to find the GCF of 8888 and 8899?

We will first find the prime factorization of 8888 and 8899. After we will calculate the factors of 8888 and 8899 and find the biggest common factor number .

Step-1: Prime Factorization of 8888

Prime factors of 8888 are 2, 11, 101. Prime factorization of 8888 in exponential form is:

8888 = 2³ × 11¹ × 101¹

Step-2: Prime Factorization of 8899

Prime factors of 8899 are 11, 809. Prime factorization of 8899 in exponential form is:

8899 = 11¹ × 809¹

Step-3: Factors of 8888

List of positive integer factors of 8888 that divides 8888 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444

Step-4: Factors of 8899

List of positive integer factors of 8899 that divides 8888 without a remainder.

1, 11, 809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8888 and 8899. The biggest common factor number is the GCF number.
So the greatest common factor 8888 and 8899 is 11.

Also check out the Least Common Multiple of 8888 and 8899