What is the Greatest Common Factor of 3005 and 3009?

Greatest common factor (GCF) of 3005 and 3009 is 1.

GCF(3005,3009) = 1

We will now calculate the prime factors of 3005 and 3009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3005 and 3009.

How to find the GCF of 3005 and 3009?

We will first find the prime factorization of 3005 and 3009. After we will calculate the factors of 3005 and 3009 and find the biggest common factor number .

Step-1: Prime Factorization of 3005

Prime factors of 3005 are 5, 601. Prime factorization of 3005 in exponential form is:

3005 = 5¹ × 601¹

Step-2: Prime Factorization of 3009

Prime factors of 3009 are 3, 17, 59. Prime factorization of 3009 in exponential form is:

3009 = 3¹ × 17¹ × 59¹

Step-3: Factors of 3005

List of positive integer factors of 3005 that divides 3005 without a remainder.

1, 5, 601

Step-4: Factors of 3009

List of positive integer factors of 3009 that divides 3005 without a remainder.

1, 3, 17, 51, 59, 177, 1003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3005 and 3009. The biggest common factor number is the GCF number.
So the greatest common factor 3005 and 3009 is 1.

Also check out the Least Common Multiple of 3005 and 3009