What is the Greatest Common Factor of 98991 and 98997?

Greatest common factor (GCF) of 98991 and 98997 is 3.

GCF(98991,98997) = 3

We will now calculate the prime factors of 98991 and 98997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98991 and 98997.

How to find the GCF of 98991 and 98997?

We will first find the prime factorization of 98991 and 98997. After we will calculate the factors of 98991 and 98997 and find the biggest common factor number .

Step-1: Prime Factorization of 98991

Prime factors of 98991 are 3, 17, 647. Prime factorization of 98991 in exponential form is:

98991 = 3² × 17¹ × 647¹

Step-2: Prime Factorization of 98997

Prime factors of 98997 are 3, 32999. Prime factorization of 98997 in exponential form is:

98997 = 3¹ × 32999¹

Step-3: Factors of 98991

List of positive integer factors of 98991 that divides 98991 without a remainder.

1, 3, 9, 17, 51, 153, 647, 1941, 5823, 10999, 32997

Step-4: Factors of 98997

List of positive integer factors of 98997 that divides 98991 without a remainder.

1, 3, 32999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98991 and 98997. The biggest common factor number is the GCF number.
So the greatest common factor 98991 and 98997 is 3.

Also check out the Least Common Multiple of 98991 and 98997