What is the Greatest Common Factor of 8009 and 8029?

Greatest common factor (GCF) of 8009 and 8029 is 1.

GCF(8009,8029) = 1

We will now calculate the prime factors of 8009 and 8029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8009 and 8029.

How to find the GCF of 8009 and 8029?

We will first find the prime factorization of 8009 and 8029. After we will calculate the factors of 8009 and 8029 and find the biggest common factor number .

Step-1: Prime Factorization of 8009

Prime factors of 8009 are 8009. Prime factorization of 8009 in exponential form is:

8009 = 8009¹

Step-2: Prime Factorization of 8029

Prime factors of 8029 are 7, 31, 37. Prime factorization of 8029 in exponential form is:

8029 = 7¹ × 31¹ × 37¹

Step-3: Factors of 8009

List of positive integer factors of 8009 that divides 8009 without a remainder.

Step-4: Factors of 8029

List of positive integer factors of 8029 that divides 8009 without a remainder.

1, 7, 31, 37, 217, 259, 1147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8009 and 8029. The biggest common factor number is the GCF number.
So the greatest common factor 8009 and 8029 is 1.

Also check out the Least Common Multiple of 8009 and 8029