What is the Greatest Common Factor of 83005 and 83018?

Greatest common factor (GCF) of 83005 and 83018 is 13.

GCF(83005,83018) = 13

We will now calculate the prime factors of 83005 and 83018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83005 and 83018.

How to find the GCF of 83005 and 83018?

We will first find the prime factorization of 83005 and 83018. After we will calculate the factors of 83005 and 83018 and find the biggest common factor number .

Step-1: Prime Factorization of 83005

Prime factors of 83005 are 5, 13, 1277. Prime factorization of 83005 in exponential form is:

83005 = 5¹ × 13¹ × 1277¹

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 83005

List of positive integer factors of 83005 that divides 83005 without a remainder.

1, 5, 13, 65, 1277, 6385, 16601

Step-4: Factors of 83018

List of positive integer factors of 83018 that divides 83005 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 83005 and 83018. The biggest common factor number is the GCF number.
So the greatest common factor 83005 and 83018 is 13.

Also check out the Least Common Multiple of 83005 and 83018