What is the Greatest Common Factor of 98344 and 98363?

Greatest common factor (GCF) of 98344 and 98363 is 19.

GCF(98344,98363) = 19

We will now calculate the prime factors of 98344 and 98363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98344 and 98363.

How to find the GCF of 98344 and 98363?

We will first find the prime factorization of 98344 and 98363. After we will calculate the factors of 98344 and 98363 and find the biggest common factor number .

Step-1: Prime Factorization of 98344

Prime factors of 98344 are 2, 19, 647. Prime factorization of 98344 in exponential form is:

98344 = 2³ × 19¹ × 647¹

Step-2: Prime Factorization of 98363

Prime factors of 98363 are 19, 31, 167. Prime factorization of 98363 in exponential form is:

98363 = 19¹ × 31¹ × 167¹

Step-3: Factors of 98344

List of positive integer factors of 98344 that divides 98344 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 647, 1294, 2588, 5176, 12293, 24586, 49172

Step-4: Factors of 98363

List of positive integer factors of 98363 that divides 98344 without a remainder.

1, 19, 31, 167, 589, 3173, 5177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98344 and 98363. The biggest common factor number is the GCF number.
So the greatest common factor 98344 and 98363 is 19.

Also check out the Least Common Multiple of 98344 and 98363