What is the Greatest Common Factor of 98994 and 99003?

Greatest common factor (GCF) of 98994 and 99003 is 3.

GCF(98994,99003) = 3

We will now calculate the prime factors of 98994 and 99003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 98994 and 99003.

How to find the GCF of 98994 and 99003?

We will first find the prime factorization of 98994 and 99003. After we will calculate the factors of 98994 and 99003 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 99003

Prime factors of 99003 are 3, 61, 541. Prime factorization of 99003 in exponential form is:

99003 = 3¹ × 61¹ × 541¹

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 99003

List of positive integer factors of 99003 that divides 98994 without a remainder.

1, 3, 61, 183, 541, 1623, 33001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 98994 and 99003. The biggest common factor number is the GCF number.
So the greatest common factor 98994 and 99003 is 3.

Also check out the Least Common Multiple of 98994 and 99003