What is the Greatest Common Factor of 98844 and 98856?

Greatest common factor (GCF) of 98844 and 98856 is 12.

GCF(98844,98856) = 12

We will now calculate the prime factors of 98844 and 98856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98844 and 98856.

How to find the GCF of 98844 and 98856?

We will first find the prime factorization of 98844 and 98856. After we will calculate the factors of 98844 and 98856 and find the biggest common factor number .

Step-1: Prime Factorization of 98844

Prime factors of 98844 are 2, 3, 8237. Prime factorization of 98844 in exponential form is:

98844 = 2² × 3¹ × 8237¹

Step-2: Prime Factorization of 98856

Prime factors of 98856 are 2, 3, 1373. Prime factorization of 98856 in exponential form is:

98856 = 2³ × 3² × 1373¹

Step-3: Factors of 98844

List of positive integer factors of 98844 that divides 98844 without a remainder.

1, 2, 3, 4, 6, 12, 8237, 16474, 24711, 32948, 49422

Step-4: Factors of 98856

List of positive integer factors of 98856 that divides 98844 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1373, 2746, 4119, 5492, 8238, 10984, 12357, 16476, 24714, 32952, 49428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98844 and 98856. The biggest common factor number is the GCF number.
So the greatest common factor 98844 and 98856 is 12.

Also check out the Least Common Multiple of 98844 and 98856