What is the Greatest Common Factor of 80994 and 81003?

Greatest common factor (GCF) of 80994 and 81003 is 3.

GCF(80994,81003) = 3

We will now calculate the prime factors of 80994 and 81003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80994 and 81003.

How to find the GCF of 80994 and 81003?

We will first find the prime factorization of 80994 and 81003. After we will calculate the factors of 80994 and 81003 and find the biggest common factor number .

Step-1: Prime Factorization of 80994

Prime factors of 80994 are 2, 3, 13499. Prime factorization of 80994 in exponential form is:

80994 = 2¹ × 3¹ × 13499¹

Step-2: Prime Factorization of 81003

Prime factors of 81003 are 3, 13, 31, 67. Prime factorization of 81003 in exponential form is:

81003 = 3¹ × 13¹ × 31¹ × 67¹

Step-3: Factors of 80994

List of positive integer factors of 80994 that divides 80994 without a remainder.

1, 2, 3, 6, 13499, 26998, 40497

Step-4: Factors of 81003

List of positive integer factors of 81003 that divides 80994 without a remainder.

1, 3, 13, 31, 39, 67, 93, 201, 403, 871, 1209, 2077, 2613, 6231, 27001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80994 and 81003. The biggest common factor number is the GCF number.
So the greatest common factor 80994 and 81003 is 3.

Also check out the Least Common Multiple of 80994 and 81003