What is the Greatest Common Factor of 8888 and 8908?

Greatest common factor (GCF) of 8888 and 8908 is 4.

GCF(8888,8908) = 4

We will now calculate the prime factors of 8888 and 8908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8888 and 8908.

How to find the GCF of 8888 and 8908?

We will first find the prime factorization of 8888 and 8908. After we will calculate the factors of 8888 and 8908 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 8908

Prime factors of 8908 are 2, 17, 131. Prime factorization of 8908 in exponential form is:

8908 = 2² × 17¹ × 131¹

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 8908

List of positive integer factors of 8908 that divides 8888 without a remainder.

1, 2, 4, 17, 34, 68, 131, 262, 524, 2227, 4454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8888 and 8908. The biggest common factor number is the GCF number.
So the greatest common factor 8888 and 8908 is 4.

Also check out the Least Common Multiple of 8888 and 8908