What is the Greatest Common Factor of 81003 and 81021?

Greatest common factor (GCF) of 81003 and 81021 is 3.

GCF(81003,81021) = 3

We will now calculate the prime factors of 81003 and 81021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81003 and 81021.

How to find the GCF of 81003 and 81021?

We will first find the prime factorization of 81003 and 81021. After we will calculate the factors of 81003 and 81021 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 81021

Prime factors of 81021 are 3, 113, 239. Prime factorization of 81021 in exponential form is:

81021 = 3¹ × 113¹ × 239¹

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 81021

List of positive integer factors of 81021 that divides 81003 without a remainder.

1, 3, 113, 239, 339, 717, 27007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81003 and 81021. The biggest common factor number is the GCF number.
So the greatest common factor 81003 and 81021 is 3.

Also check out the Least Common Multiple of 81003 and 81021