What is the Greatest Common Factor of 98994 and 99009?

Greatest common factor (GCF) of 98994 and 99009 is 3.

GCF(98994,99009) = 3

We will now calculate the prime factors of 98994 and 99009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98994 and 99009.

How to find the GCF of 98994 and 99009?

We will first find the prime factorization of 98994 and 99009. After we will calculate the factors of 98994 and 99009 and find the biggest common factor number .

Step-1: Prime Factorization of 98994

Prime factors of 98994 are 2, 3, 7, 2357. Prime factorization of 98994 in exponential form is:

98994 = 2¹ × 3¹ × 7¹ × 2357¹

Step-2: Prime Factorization of 99009

Prime factors of 99009 are 3, 19, 193. Prime factorization of 99009 in exponential form is:

99009 = 3³ × 19¹ × 193¹

Step-3: Factors of 98994

List of positive integer factors of 98994 that divides 98994 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2357, 4714, 7071, 14142, 16499, 32998, 49497

Step-4: Factors of 99009

List of positive integer factors of 99009 that divides 98994 without a remainder.

1, 3, 9, 19, 27, 57, 171, 193, 513, 579, 1737, 3667, 5211, 11001, 33003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98994 and 99009. The biggest common factor number is the GCF number.
So the greatest common factor 98994 and 99009 is 3.

Also check out the Least Common Multiple of 98994 and 99009