What is the Greatest Common Factor of 98992 and 99012?

Greatest common factor (GCF) of 98992 and 99012 is 4.

GCF(98992,99012) = 4

We will now calculate the prime factors of 98992 and 99012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98992 and 99012.

How to find the GCF of 98992 and 99012?

We will first find the prime factorization of 98992 and 99012. After we will calculate the factors of 98992 and 99012 and find the biggest common factor number .

Step-1: Prime Factorization of 98992

Prime factors of 98992 are 2, 23, 269. Prime factorization of 98992 in exponential form is:

98992 = 2⁴ × 23¹ × 269¹

Step-2: Prime Factorization of 99012

Prime factors of 99012 are 2, 3, 37, 223. Prime factorization of 99012 in exponential form is:

99012 = 2² × 3¹ × 37¹ × 223¹

Step-3: Factors of 98992

List of positive integer factors of 98992 that divides 98992 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 269, 368, 538, 1076, 2152, 4304, 6187, 12374, 24748, 49496

Step-4: Factors of 99012

List of positive integer factors of 99012 that divides 98992 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 223, 444, 446, 669, 892, 1338, 2676, 8251, 16502, 24753, 33004, 49506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98992 and 99012. The biggest common factor number is the GCF number.
So the greatest common factor 98992 and 99012 is 4.

Also check out the Least Common Multiple of 98992 and 99012