What is the Greatest Common Factor of 3509 and 3517?

Greatest common factor (GCF) of 3509 and 3517 is 1.

GCF(3509,3517) = 1

We will now calculate the prime factors of 3509 and 3517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3509 and 3517.

How to find the GCF of 3509 and 3517?

We will first find the prime factorization of 3509 and 3517. After we will calculate the factors of 3509 and 3517 and find the biggest common factor number .

Step-1: Prime Factorization of 3509

Prime factors of 3509 are 11, 29. Prime factorization of 3509 in exponential form is:

3509 = 11² × 29¹

Step-2: Prime Factorization of 3517

Prime factors of 3517 are 3517. Prime factorization of 3517 in exponential form is:

3517 = 3517¹

Step-3: Factors of 3509

List of positive integer factors of 3509 that divides 3509 without a remainder.

1, 11, 29, 121, 319

Step-4: Factors of 3517

List of positive integer factors of 3517 that divides 3509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3509 and 3517. The biggest common factor number is the GCF number.
So the greatest common factor 3509 and 3517 is 1.

Also check out the Least Common Multiple of 3509 and 3517