What is the Greatest Common Factor of 81003 and 81009?

Greatest common factor (GCF) of 81003 and 81009 is 3.

GCF(81003,81009) = 3

We will now calculate the prime factors of 81003 and 81009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81003 and 81009.

How to find the GCF of 81003 and 81009?

We will first find the prime factorization of 81003 and 81009. After we will calculate the factors of 81003 and 81009 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81009

Prime factors of 81009 are 3, 9001. Prime factorization of 81009 in exponential form is:

81009 = 3² × 9001¹

Step-3: Factors of 81003

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

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

Step-4: Factors of 81009

List of positive integer factors of 81009 that divides 81003 without a remainder.

1, 3, 9, 9001, 27003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81003 and 81009. The biggest common factor number is the GCF number.
So the greatest common factor 81003 and 81009 is 3.

Also check out the Least Common Multiple of 81003 and 81009