What is the Greatest Common Factor of 8388 and 8406?

Greatest common factor (GCF) of 8388 and 8406 is 18.

GCF(8388,8406) = 18

We will now calculate the prime factors of 8388 and 8406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8388 and 8406.

How to find the GCF of 8388 and 8406?

We will first find the prime factorization of 8388 and 8406. After we will calculate the factors of 8388 and 8406 and find the biggest common factor number .

Step-1: Prime Factorization of 8388

Prime factors of 8388 are 2, 3, 233. Prime factorization of 8388 in exponential form is:

8388 = 2² × 3² × 233¹

Step-2: Prime Factorization of 8406

Prime factors of 8406 are 2, 3, 467. Prime factorization of 8406 in exponential form is:

8406 = 2¹ × 3² × 467¹

Step-3: Factors of 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194

Step-4: Factors of 8406

List of positive integer factors of 8406 that divides 8388 without a remainder.

1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8388 and 8406. The biggest common factor number is the GCF number.
So the greatest common factor 8388 and 8406 is 18.

Also check out the Least Common Multiple of 8388 and 8406