What is the Greatest Common Factor of 82004 and 82014?

Greatest common factor (GCF) of 82004 and 82014 is 2.

GCF(82004,82014) = 2

We will now calculate the prime factors of 82004 and 82014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82004 and 82014.

How to find the GCF of 82004 and 82014?

We will first find the prime factorization of 82004 and 82014. After we will calculate the factors of 82004 and 82014 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 82014

Prime factors of 82014 are 2, 3, 13669. Prime factorization of 82014 in exponential form is:

82014 = 2¹ × 3¹ × 13669¹

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 82014

List of positive integer factors of 82014 that divides 82004 without a remainder.

1, 2, 3, 6, 13669, 27338, 41007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82004 and 82014. The biggest common factor number is the GCF number.
So the greatest common factor 82004 and 82014 is 2.

Also check out the Least Common Multiple of 82004 and 82014