What is the Greatest Common Factor of 98019 and 98031?

Greatest common factor (GCF) of 98019 and 98031 is 3.

GCF(98019,98031) = 3

We will now calculate the prime factors of 98019 and 98031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98019 and 98031.

How to find the GCF of 98019 and 98031?

We will first find the prime factorization of 98019 and 98031. After we will calculate the factors of 98019 and 98031 and find the biggest common factor number .

Step-1: Prime Factorization of 98019

Prime factors of 98019 are 3, 10891. Prime factorization of 98019 in exponential form is:

98019 = 3² × 10891¹

Step-2: Prime Factorization of 98031

Prime factors of 98031 are 3, 41, 797. Prime factorization of 98031 in exponential form is:

98031 = 3¹ × 41¹ × 797¹

Step-3: Factors of 98019

List of positive integer factors of 98019 that divides 98019 without a remainder.

1, 3, 9, 10891, 32673

Step-4: Factors of 98031

List of positive integer factors of 98031 that divides 98019 without a remainder.

1, 3, 41, 123, 797, 2391, 32677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98019 and 98031. The biggest common factor number is the GCF number.
So the greatest common factor 98019 and 98031 is 3.

Also check out the Least Common Multiple of 98019 and 98031