What is the Greatest Common Factor of 98992 and 99004?

Greatest common factor (GCF) of 98992 and 99004 is 4.

GCF(98992,99004) = 4

We will now calculate the prime factors of 98992 and 99004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98992 and 99004.

How to find the GCF of 98992 and 99004?

We will first find the prime factorization of 98992 and 99004. After we will calculate the factors of 98992 and 99004 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 99004

Prime factors of 99004 are 2, 53, 467. Prime factorization of 99004 in exponential form is:

99004 = 2² × 53¹ × 467¹

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 99004

List of positive integer factors of 99004 that divides 98992 without a remainder.

1, 2, 4, 53, 106, 212, 467, 934, 1868, 24751, 49502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98992 and 99004. The biggest common factor number is the GCF number.
So the greatest common factor 98992 and 99004 is 4.

Also check out the Least Common Multiple of 98992 and 99004