What is the Greatest Common Factor of 98424 and 98442?

Greatest common factor (GCF) of 98424 and 98442 is 18.

GCF(98424,98442) = 18

We will now calculate the prime factors of 98424 and 98442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98424 and 98442.

How to find the GCF of 98424 and 98442?

We will first find the prime factorization of 98424 and 98442. After we will calculate the factors of 98424 and 98442 and find the biggest common factor number .

Step-1: Prime Factorization of 98424

Prime factors of 98424 are 2, 3, 1367. Prime factorization of 98424 in exponential form is:

98424 = 2³ × 3² × 1367¹

Step-2: Prime Factorization of 98442

Prime factors of 98442 are 2, 3, 1823. Prime factorization of 98442 in exponential form is:

98442 = 2¹ × 3³ × 1823¹

Step-3: Factors of 98424

List of positive integer factors of 98424 that divides 98424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1367, 2734, 4101, 5468, 8202, 10936, 12303, 16404, 24606, 32808, 49212

Step-4: Factors of 98442

List of positive integer factors of 98442 that divides 98424 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1823, 3646, 5469, 10938, 16407, 32814, 49221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98424 and 98442. The biggest common factor number is the GCF number.
So the greatest common factor 98424 and 98442 is 18.

Also check out the Least Common Multiple of 98424 and 98442