What is the Greatest Common Factor of 81064 and 81082?

Greatest common factor (GCF) of 81064 and 81082 is 2.

GCF(81064,81082) = 2

We will now calculate the prime factors of 81064 and 81082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81064 and 81082.

How to find the GCF of 81064 and 81082?

We will first find the prime factorization of 81064 and 81082. After we will calculate the factors of 81064 and 81082 and find the biggest common factor number .

Step-1: Prime Factorization of 81064

Prime factors of 81064 are 2, 10133. Prime factorization of 81064 in exponential form is:

81064 = 2³ × 10133¹

Step-2: Prime Factorization of 81082

Prime factors of 81082 are 2, 71, 571. Prime factorization of 81082 in exponential form is:

81082 = 2¹ × 71¹ × 571¹

Step-3: Factors of 81064

List of positive integer factors of 81064 that divides 81064 without a remainder.

1, 2, 4, 8, 10133, 20266, 40532

Step-4: Factors of 81082

List of positive integer factors of 81082 that divides 81064 without a remainder.

1, 2, 71, 142, 571, 1142, 40541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81064 and 81082. The biggest common factor number is the GCF number.
So the greatest common factor 81064 and 81082 is 2.

Also check out the Least Common Multiple of 81064 and 81082