What is the Greatest Common Factor of 98414 and 98424?

Greatest common factor (GCF) of 98414 and 98424 is 2.

GCF(98414,98424) = 2

We will now calculate the prime factors of 98414 and 98424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98414 and 98424.

How to find the GCF of 98414 and 98424?

We will first find the prime factorization of 98414 and 98424. After we will calculate the factors of 98414 and 98424 and find the biggest common factor number .

Step-1: Prime Factorization of 98414

Prime factors of 98414 are 2, 49207. Prime factorization of 98414 in exponential form is:

98414 = 2¹ × 49207¹

Step-2: 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-3: Factors of 98414

List of positive integer factors of 98414 that divides 98414 without a remainder.

1, 2, 49207

Step-4: Factors of 98424

List of positive integer factors of 98424 that divides 98414 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98414 and 98424. The biggest common factor number is the GCF number.
So the greatest common factor 98414 and 98424 is 2.

Also check out the Least Common Multiple of 98414 and 98424