What is the Greatest Common Factor of 82004 and 82012?

Greatest common factor (GCF) of 82004 and 82012 is 4.

GCF(82004,82012) = 4

We will now calculate the prime factors of 82004 and 82012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82004 and 82012.

How to find the GCF of 82004 and 82012?

We will first find the prime factorization of 82004 and 82012. After we will calculate the factors of 82004 and 82012 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 82012

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

82012 = 2² × 7¹ × 29¹ × 101¹

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 82012

List of positive integer factors of 82012 that divides 82004 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82004 and 82012. The biggest common factor number is the GCF number.
So the greatest common factor 82004 and 82012 is 4.

Also check out the Least Common Multiple of 82004 and 82012