What is the Greatest Common Factor of 98994 and 99011?

Greatest common factor (GCF) of 98994 and 99011 is 1.

GCF(98994,99011) = 1

We will now calculate the prime factors of 98994 and 99011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98994 and 99011.

How to find the GCF of 98994 and 99011?

We will first find the prime factorization of 98994 and 99011. After we will calculate the factors of 98994 and 99011 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 99011

Prime factors of 99011 are 11, 9001. Prime factorization of 99011 in exponential form is:

99011 = 11¹ × 9001¹

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 99011

List of positive integer factors of 99011 that divides 98994 without a remainder.

1, 11, 9001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98994 and 99011. The biggest common factor number is the GCF number.
So the greatest common factor 98994 and 99011 is 1.

Also check out the Least Common Multiple of 98994 and 99011