What is the Greatest Common Factor of 82012 and 82027?

Greatest common factor (GCF) of 82012 and 82027 is 1.

GCF(82012,82027) = 1

We will now calculate the prime factors of 82012 and 82027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82012 and 82027.

How to find the GCF of 82012 and 82027?

We will first find the prime factorization of 82012 and 82027. After we will calculate the factors of 82012 and 82027 and find the biggest common factor number .

Step-1: Prime Factorization of 82012

Prime factors of 82012 are 2, 7, 29, 101. Prime factorization of 82012 in exponential form is:

82012 = 2² × 7¹ × 29¹ × 101¹

Step-2: Prime Factorization of 82027

Prime factors of 82027 are 11, 7457. Prime factorization of 82027 in exponential form is:

82027 = 11¹ × 7457¹

Step-3: Factors of 82012

List of positive integer factors of 82012 that divides 82012 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 101, 116, 202, 203, 404, 406, 707, 812, 1414, 2828, 2929, 5858, 11716, 20503, 41006

Step-4: Factors of 82027

List of positive integer factors of 82027 that divides 82012 without a remainder.

1, 11, 7457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82012 and 82027. The biggest common factor number is the GCF number.
So the greatest common factor 82012 and 82027 is 1.

Also check out the Least Common Multiple of 82012 and 82027