What is the Greatest Common Factor of 98673 and 98691?

Greatest common factor (GCF) of 98673 and 98691 is 3.

GCF(98673,98691) = 3

We will now calculate the prime factors of 98673 and 98691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98673 and 98691.

How to find the GCF of 98673 and 98691?

We will first find the prime factorization of 98673 and 98691. After we will calculate the factors of 98673 and 98691 and find the biggest common factor number .

Step-1: Prime Factorization of 98673

Prime factors of 98673 are 3, 31, 1061. Prime factorization of 98673 in exponential form is:

98673 = 3¹ × 31¹ × 1061¹

Step-2: Prime Factorization of 98691

Prime factors of 98691 are 3, 67, 491. Prime factorization of 98691 in exponential form is:

98691 = 3¹ × 67¹ × 491¹

Step-3: Factors of 98673

List of positive integer factors of 98673 that divides 98673 without a remainder.

1, 3, 31, 93, 1061, 3183, 32891

Step-4: Factors of 98691

List of positive integer factors of 98691 that divides 98673 without a remainder.

1, 3, 67, 201, 491, 1473, 32897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98673 and 98691. The biggest common factor number is the GCF number.
So the greatest common factor 98673 and 98691 is 3.

Also check out the Least Common Multiple of 98673 and 98691