What is the Greatest Common Factor of 98664 and 98680?

Greatest common factor (GCF) of 98664 and 98680 is 8.

GCF(98664,98680) = 8

We will now calculate the prime factors of 98664 and 98680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98664 and 98680.

How to find the GCF of 98664 and 98680?

We will first find the prime factorization of 98664 and 98680. After we will calculate the factors of 98664 and 98680 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 98680

Prime factors of 98680 are 2, 5, 2467. Prime factorization of 98680 in exponential form is:

98680 = 2³ × 5¹ × 2467¹

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 98680

List of positive integer factors of 98680 that divides 98664 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2467, 4934, 9868, 12335, 19736, 24670, 49340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98664 and 98680. The biggest common factor number is the GCF number.
So the greatest common factor 98664 and 98680 is 8.

Also check out the Least Common Multiple of 98664 and 98680