What is the Greatest Common Factor of 98991 and 99006?

Greatest common factor (GCF) of 98991 and 99006 is 3.

GCF(98991,99006) = 3

We will now calculate the prime factors of 98991 and 99006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98991 and 99006.

How to find the GCF of 98991 and 99006?

We will first find the prime factorization of 98991 and 99006. After we will calculate the factors of 98991 and 99006 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 99006

Prime factors of 99006 are 2, 3, 29, 569. Prime factorization of 99006 in exponential form is:

99006 = 2¹ × 3¹ × 29¹ × 569¹

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 99006

List of positive integer factors of 99006 that divides 98991 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 569, 1138, 1707, 3414, 16501, 33002, 49503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98991 and 99006. The biggest common factor number is the GCF number.
So the greatest common factor 98991 and 99006 is 3.

Also check out the Least Common Multiple of 98991 and 99006