What is the Greatest Common Factor of 98992 and 98998?

Greatest common factor (GCF) of 98992 and 98998 is 2.

GCF(98992,98998) = 2

We will now calculate the prime factors of 98992 and 98998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98992 and 98998.

How to find the GCF of 98992 and 98998?

We will first find the prime factorization of 98992 and 98998. After we will calculate the factors of 98992 and 98998 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 98998

Prime factors of 98998 are 2, 49499. Prime factorization of 98998 in exponential form is:

98998 = 2¹ × 49499¹

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 98998

List of positive integer factors of 98998 that divides 98992 without a remainder.

1, 2, 49499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98992 and 98998. The biggest common factor number is the GCF number.
So the greatest common factor 98992 and 98998 is 2.

Also check out the Least Common Multiple of 98992 and 98998