What is the Greatest Common Factor of 98664 and 98673?

Greatest common factor (GCF) of 98664 and 98673 is 3.

GCF(98664,98673) = 3

We will now calculate the prime factors of 98664 and 98673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98664 and 98673.

How to find the GCF of 98664 and 98673?

We will first find the prime factorization of 98664 and 98673. After we will calculate the factors of 98664 and 98673 and find the biggest common factor number .

Step-1: Prime Factorization of 98664

Prime factors of 98664 are 2, 3, 4111. Prime factorization of 98664 in exponential form is:

98664 = 2³ × 3¹ × 4111¹

Step-2: 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-3: Factors of 98664

List of positive integer factors of 98664 that divides 98664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4111, 8222, 12333, 16444, 24666, 32888, 49332

Step-4: Factors of 98673

List of positive integer factors of 98673 that divides 98664 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98664 and 98673. The biggest common factor number is the GCF number.
So the greatest common factor 98664 and 98673 is 3.

Also check out the Least Common Multiple of 98664 and 98673