What is the Greatest Common Factor of 62388 and 62406?

Greatest common factor (GCF) of 62388 and 62406 is 18.

GCF(62388,62406) = 18

We will now calculate the prime factors of 62388 and 62406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62388 and 62406.

How to find the GCF of 62388 and 62406?

We will first find the prime factorization of 62388 and 62406. After we will calculate the factors of 62388 and 62406 and find the biggest common factor number .

Step-1: Prime Factorization of 62388

Prime factors of 62388 are 2, 3, 1733. Prime factorization of 62388 in exponential form is:

62388 = 2² × 3² × 1733¹

Step-2: Prime Factorization of 62406

Prime factors of 62406 are 2, 3, 3467. Prime factorization of 62406 in exponential form is:

62406 = 2¹ × 3² × 3467¹

Step-3: Factors of 62388

List of positive integer factors of 62388 that divides 62388 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1733, 3466, 5199, 6932, 10398, 15597, 20796, 31194

Step-4: Factors of 62406

List of positive integer factors of 62406 that divides 62388 without a remainder.

1, 2, 3, 6, 9, 18, 3467, 6934, 10401, 20802, 31203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62388 and 62406. The biggest common factor number is the GCF number.
So the greatest common factor 62388 and 62406 is 18.

Also check out the Least Common Multiple of 62388 and 62406