What is the Greatest Common Factor of 98403 and 98418?

Greatest common factor (GCF) of 98403 and 98418 is 3.

GCF(98403,98418) = 3

We will now calculate the prime factors of 98403 and 98418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98403 and 98418.

How to find the GCF of 98403 and 98418?

We will first find the prime factorization of 98403 and 98418. After we will calculate the factors of 98403 and 98418 and find the biggest common factor number .

Step-1: Prime Factorization of 98403

Prime factors of 98403 are 3, 32801. Prime factorization of 98403 in exponential form is:

98403 = 3¹ × 32801¹

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 98403

List of positive integer factors of 98403 that divides 98403 without a remainder.

1, 3, 32801

Step-4: Factors of 98418

List of positive integer factors of 98418 that divides 98403 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 98403 and 98418. The biggest common factor number is the GCF number.
So the greatest common factor 98403 and 98418 is 3.

Also check out the Least Common Multiple of 98403 and 98418