What is the Greatest Common Factor of 81008 and 81022?

Greatest common factor (GCF) of 81008 and 81022 is 2.

GCF(81008,81022) = 2

We will now calculate the prime factors of 81008 and 81022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81008 and 81022.

How to find the GCF of 81008 and 81022?

We will first find the prime factorization of 81008 and 81022. After we will calculate the factors of 81008 and 81022 and find the biggest common factor number .

Step-1: Prime Factorization of 81008

Prime factors of 81008 are 2, 61, 83. Prime factorization of 81008 in exponential form is:

81008 = 2⁴ × 61¹ × 83¹

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 81008

List of positive integer factors of 81008 that divides 81008 without a remainder.

1, 2, 4, 8, 16, 61, 83, 122, 166, 244, 332, 488, 664, 976, 1328, 5063, 10126, 20252, 40504

Step-4: Factors of 81022

List of positive integer factors of 81022 that divides 81008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81008 and 81022. The biggest common factor number is the GCF number.
So the greatest common factor 81008 and 81022 is 2.

Also check out the Least Common Multiple of 81008 and 81022