What is the Greatest Common Factor of 82004 and 82022?

Greatest common factor (GCF) of 82004 and 82022 is 2.

GCF(82004,82022) = 2

We will now calculate the prime factors of 82004 and 82022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82004 and 82022.

How to find the GCF of 82004 and 82022?

We will first find the prime factorization of 82004 and 82022. After we will calculate the factors of 82004 and 82022 and find the biggest common factor number .

Step-1: Prime Factorization of 82004

Prime factors of 82004 are 2, 13, 19, 83. Prime factorization of 82004 in exponential form is:

82004 = 2² × 13¹ × 19¹ × 83¹

Step-2: Prime Factorization of 82022

Prime factors of 82022 are 2, 41011. Prime factorization of 82022 in exponential form is:

82022 = 2¹ × 41011¹

Step-3: Factors of 82004

List of positive integer factors of 82004 that divides 82004 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 83, 166, 247, 332, 494, 988, 1079, 1577, 2158, 3154, 4316, 6308, 20501, 41002

Step-4: Factors of 82022

List of positive integer factors of 82022 that divides 82004 without a remainder.

1, 2, 41011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82004 and 82022. The biggest common factor number is the GCF number.
So the greatest common factor 82004 and 82022 is 2.

Also check out the Least Common Multiple of 82004 and 82022