What is the Greatest Common Factor of 98988 and 98992?

Greatest common factor (GCF) of 98988 and 98992 is 4.

GCF(98988,98992) = 4

We will now calculate the prime factors of 98988 and 98992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98988 and 98992.

How to find the GCF of 98988 and 98992?

We will first find the prime factorization of 98988 and 98992. After we will calculate the factors of 98988 and 98992 and find the biggest common factor number .

Step-1: Prime Factorization of 98988

Prime factors of 98988 are 2, 3, 73, 113. Prime factorization of 98988 in exponential form is:

98988 = 2² × 3¹ × 73¹ × 113¹

Step-2: 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-3: Factors of 98988

List of positive integer factors of 98988 that divides 98988 without a remainder.

1, 2, 3, 4, 6, 12, 73, 113, 146, 219, 226, 292, 339, 438, 452, 678, 876, 1356, 8249, 16498, 24747, 32996, 49494

Step-4: Factors of 98992

List of positive integer factors of 98992 that divides 98988 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98988 and 98992. The biggest common factor number is the GCF number.
So the greatest common factor 98988 and 98992 is 4.

Also check out the Least Common Multiple of 98988 and 98992