What is the Greatest Common Factor of 98667 and 98682?

Greatest common factor (GCF) of 98667 and 98682 is 3.

GCF(98667,98682) = 3

We will now calculate the prime factors of 98667 and 98682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98667 and 98682.

How to find the GCF of 98667 and 98682?

We will first find the prime factorization of 98667 and 98682. After we will calculate the factors of 98667 and 98682 and find the biggest common factor number .

Step-1: Prime Factorization of 98667

Prime factors of 98667 are 3, 19, 577. Prime factorization of 98667 in exponential form is:

98667 = 3² × 19¹ × 577¹

Step-2: Prime Factorization of 98682

Prime factors of 98682 are 2, 3, 16447. Prime factorization of 98682 in exponential form is:

98682 = 2¹ × 3¹ × 16447¹

Step-3: Factors of 98667

List of positive integer factors of 98667 that divides 98667 without a remainder.

1, 3, 9, 19, 57, 171, 577, 1731, 5193, 10963, 32889

Step-4: Factors of 98682

List of positive integer factors of 98682 that divides 98667 without a remainder.

1, 2, 3, 6, 16447, 32894, 49341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98667 and 98682. The biggest common factor number is the GCF number.
So the greatest common factor 98667 and 98682 is 3.

Also check out the Least Common Multiple of 98667 and 98682