What is the Greatest Common Factor of 83004 and 83018?

Greatest common factor (GCF) of 83004 and 83018 is 2.

GCF(83004,83018) = 2

We will now calculate the prime factors of 83004 and 83018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83004 and 83018.

How to find the GCF of 83004 and 83018?

We will first find the prime factorization of 83004 and 83018. After we will calculate the factors of 83004 and 83018 and find the biggest common factor number .

Step-1: Prime Factorization of 83004

Prime factors of 83004 are 2, 3, 6917. Prime factorization of 83004 in exponential form is:

83004 = 2² × 3¹ × 6917¹

Step-2: Prime Factorization of 83018

Prime factors of 83018 are 2, 13, 31, 103. Prime factorization of 83018 in exponential form is:

83018 = 2¹ × 13¹ × 31¹ × 103¹

Step-3: Factors of 83004

List of positive integer factors of 83004 that divides 83004 without a remainder.

1, 2, 3, 4, 6, 12, 6917, 13834, 20751, 27668, 41502

Step-4: Factors of 83018

List of positive integer factors of 83018 that divides 83004 without a remainder.

1, 2, 13, 26, 31, 62, 103, 206, 403, 806, 1339, 2678, 3193, 6386, 41509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83004 and 83018. The biggest common factor number is the GCF number.
So the greatest common factor 83004 and 83018 is 2.

Also check out the Least Common Multiple of 83004 and 83018