What is the Greatest Common Factor of 81008 and 81023?

Greatest common factor (GCF) of 81008 and 81023 is 1.

GCF(81008,81023) = 1

We will now calculate the prime factors of 81008 and 81023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81008 and 81023.

How to find the GCF of 81008 and 81023?

We will first find the prime factorization of 81008 and 81023. After we will calculate the factors of 81008 and 81023 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 81023

Prime factors of 81023 are 81023. Prime factorization of 81023 in exponential form is:

81023 = 81023¹

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 81023

List of positive integer factors of 81023 that divides 81008 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81008 and 81023. The biggest common factor number is the GCF number.
So the greatest common factor 81008 and 81023 is 1.

Also check out the Least Common Multiple of 81008 and 81023