What is the Greatest Common Factor of 98916 and 98932?

Greatest common factor (GCF) of 98916 and 98932 is 4.

GCF(98916,98932) = 4

We will now calculate the prime factors of 98916 and 98932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98916 and 98932.

How to find the GCF of 98916 and 98932?

We will first find the prime factorization of 98916 and 98932. After we will calculate the factors of 98916 and 98932 and find the biggest common factor number .

Step-1: Prime Factorization of 98916

Prime factors of 98916 are 2, 3, 8243. Prime factorization of 98916 in exponential form is:

98916 = 2² × 3¹ × 8243¹

Step-2: Prime Factorization of 98932

Prime factors of 98932 are 2, 24733. Prime factorization of 98932 in exponential form is:

98932 = 2² × 24733¹

Step-3: Factors of 98916

List of positive integer factors of 98916 that divides 98916 without a remainder.

1, 2, 3, 4, 6, 12, 8243, 16486, 24729, 32972, 49458

Step-4: Factors of 98932

List of positive integer factors of 98932 that divides 98916 without a remainder.

1, 2, 4, 24733, 49466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98916 and 98932. The biggest common factor number is the GCF number.
So the greatest common factor 98916 and 98932 is 4.

Also check out the Least Common Multiple of 98916 and 98932