What is the Greatest Common Factor of 3335 and 3347?

Greatest common factor (GCF) of 3335 and 3347 is 1.

GCF(3335,3347) = 1

We will now calculate the prime factors of 3335 and 3347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3335 and 3347.

How to find the GCF of 3335 and 3347?

We will first find the prime factorization of 3335 and 3347. After we will calculate the factors of 3335 and 3347 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3347

Prime factors of 3347 are 3347. Prime factorization of 3347 in exponential form is:

3347 = 3347¹

Step-3: Factors of 3335

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

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

Step-4: Factors of 3347

List of positive integer factors of 3347 that divides 3335 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3335 and 3347. The biggest common factor number is the GCF number.
So the greatest common factor 3335 and 3347 is 1.

Also check out the Least Common Multiple of 3335 and 3347