What is the Greatest Common Factor of 81006 and 81022?

Greatest common factor (GCF) of 81006 and 81022 is 2.

GCF(81006,81022) = 2

We will now calculate the prime factors of 81006 and 81022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81006 and 81022.

How to find the GCF of 81006 and 81022?

We will first find the prime factorization of 81006 and 81022. After we will calculate the factors of 81006 and 81022 and find the biggest common factor number .

Step-1: Prime Factorization of 81006

Prime factors of 81006 are 2, 3, 23, 587. Prime factorization of 81006 in exponential form is:

81006 = 2¹ × 3¹ × 23¹ × 587¹

Step-2: Prime Factorization of 81022

Prime factors of 81022 are 2, 17, 2383. Prime factorization of 81022 in exponential form is:

81022 = 2¹ × 17¹ × 2383¹

Step-3: Factors of 81006

List of positive integer factors of 81006 that divides 81006 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 587, 1174, 1761, 3522, 13501, 27002, 40503

Step-4: Factors of 81022

List of positive integer factors of 81022 that divides 81006 without a remainder.

1, 2, 17, 34, 2383, 4766, 40511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81006 and 81022. The biggest common factor number is the GCF number.
So the greatest common factor 81006 and 81022 is 2.

Also check out the Least Common Multiple of 81006 and 81022