What is the Greatest Common Factor of 8802 and 8818?

Greatest common factor (GCF) of 8802 and 8818 is 2.

GCF(8802,8818) = 2

We will now calculate the prime factors of 8802 and 8818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8802 and 8818.

How to find the GCF of 8802 and 8818?

We will first find the prime factorization of 8802 and 8818. After we will calculate the factors of 8802 and 8818 and find the biggest common factor number .

Step-1: Prime Factorization of 8802

Prime factors of 8802 are 2, 3, 163. Prime factorization of 8802 in exponential form is:

8802 = 2¹ × 3³ × 163¹

Step-2: Prime Factorization of 8818

Prime factors of 8818 are 2, 4409. Prime factorization of 8818 in exponential form is:

8818 = 2¹ × 4409¹

Step-3: Factors of 8802

List of positive integer factors of 8802 that divides 8802 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401

Step-4: Factors of 8818

List of positive integer factors of 8818 that divides 8802 without a remainder.

1, 2, 4409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8802 and 8818. The biggest common factor number is the GCF number.
So the greatest common factor 8802 and 8818 is 2.

Also check out the Least Common Multiple of 8802 and 8818