What is the Greatest Common Factor of 3319 and 3335?

Greatest common factor (GCF) of 3319 and 3335 is 1.

GCF(3319,3335) = 1

We will now calculate the prime factors of 3319 and 3335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3319 and 3335.

How to find the GCF of 3319 and 3335?

We will first find the prime factorization of 3319 and 3335. After we will calculate the factors of 3319 and 3335 and find the biggest common factor number .

Step-1: Prime Factorization of 3319

Prime factors of 3319 are 3319. Prime factorization of 3319 in exponential form is:

3319 = 3319¹

Step-2: Prime Factorization of 3335

Prime factors of 3335 are 5, 23, 29. Prime factorization of 3335 in exponential form is:

3335 = 5¹ × 23¹ × 29¹

Step-3: Factors of 3319

List of positive integer factors of 3319 that divides 3319 without a remainder.

Step-4: Factors of 3335

List of positive integer factors of 3335 that divides 3319 without a remainder.

1, 5, 23, 29, 115, 145, 667

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3319 and 3335. The biggest common factor number is the GCF number.
So the greatest common factor 3319 and 3335 is 1.

Also check out the Least Common Multiple of 3319 and 3335