What is the Greatest Common Factor of 98404 and 98418?

Greatest common factor (GCF) of 98404 and 98418 is 2.

GCF(98404,98418) = 2

We will now calculate the prime factors of 98404 and 98418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98404 and 98418.

How to find the GCF of 98404 and 98418?

We will first find the prime factorization of 98404 and 98418. After we will calculate the factors of 98404 and 98418 and find the biggest common factor number .

Step-1: Prime Factorization of 98404

Prime factors of 98404 are 2, 73, 337. Prime factorization of 98404 in exponential form is:

98404 = 2² × 73¹ × 337¹

Step-2: Prime Factorization of 98418

Prime factors of 98418 are 2, 3, 47, 349. Prime factorization of 98418 in exponential form is:

98418 = 2¹ × 3¹ × 47¹ × 349¹

Step-3: Factors of 98404

List of positive integer factors of 98404 that divides 98404 without a remainder.

1, 2, 4, 73, 146, 292, 337, 674, 1348, 24601, 49202

Step-4: Factors of 98418

List of positive integer factors of 98418 that divides 98404 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282, 349, 698, 1047, 2094, 16403, 32806, 49209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98404 and 98418. The biggest common factor number is the GCF number.
So the greatest common factor 98404 and 98418 is 2.

Also check out the Least Common Multiple of 98404 and 98418