What is the Greatest Common Factor of 83009 and 83027?

Greatest common factor (GCF) of 83009 and 83027 is 1.

GCF(83009,83027) = 1

We will now calculate the prime factors of 83009 and 83027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83009 and 83027.

How to find the GCF of 83009 and 83027?

We will first find the prime factorization of 83009 and 83027. After we will calculate the factors of 83009 and 83027 and find the biggest common factor number .

Step-1: Prime Factorization of 83009

Prime factors of 83009 are 83009. Prime factorization of 83009 in exponential form is:

83009 = 83009¹

Step-2: Prime Factorization of 83027

Prime factors of 83027 are 7, 29, 409. Prime factorization of 83027 in exponential form is:

83027 = 7¹ × 29¹ × 409¹

Step-3: Factors of 83009

List of positive integer factors of 83009 that divides 83009 without a remainder.

Step-4: Factors of 83027

List of positive integer factors of 83027 that divides 83009 without a remainder.

1, 7, 29, 203, 409, 2863, 11861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83009 and 83027. The biggest common factor number is the GCF number.
So the greatest common factor 83009 and 83027 is 1.

Also check out the Least Common Multiple of 83009 and 83027