What is the Greatest Common Factor of 81005 and 81022?

Greatest common factor (GCF) of 81005 and 81022 is 17.

GCF(81005,81022) = 17

We will now calculate the prime factors of 81005 and 81022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81005 and 81022.

How to find the GCF of 81005 and 81022?

We will first find the prime factorization of 81005 and 81022. After we will calculate the factors of 81005 and 81022 and find the biggest common factor number .

Step-1: Prime Factorization of 81005

Prime factors of 81005 are 5, 17, 953. Prime factorization of 81005 in exponential form is:

81005 = 5¹ × 17¹ × 953¹

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 81005

List of positive integer factors of 81005 that divides 81005 without a remainder.

1, 5, 17, 85, 953, 4765, 16201

Step-4: Factors of 81022

List of positive integer factors of 81022 that divides 81005 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81005 and 81022. The biggest common factor number is the GCF number.
So the greatest common factor 81005 and 81022 is 17.

Also check out the Least Common Multiple of 81005 and 81022