What is the Greatest Common Factor of 3365 and 3376?

Greatest common factor (GCF) of 3365 and 3376 is 1.

GCF(3365,3376) = 1

We will now calculate the prime factors of 3365 and 3376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3365 and 3376.

How to find the GCF of 3365 and 3376?

We will first find the prime factorization of 3365 and 3376. After we will calculate the factors of 3365 and 3376 and find the biggest common factor number .

Step-1: Prime Factorization of 3365

Prime factors of 3365 are 5, 673. Prime factorization of 3365 in exponential form is:

3365 = 5¹ × 673¹

Step-2: Prime Factorization of 3376

Prime factors of 3376 are 2, 211. Prime factorization of 3376 in exponential form is:

3376 = 2⁴ × 211¹

Step-3: Factors of 3365

List of positive integer factors of 3365 that divides 3365 without a remainder.

1, 5, 673

Step-4: Factors of 3376

List of positive integer factors of 3376 that divides 3365 without a remainder.

1, 2, 4, 8, 16, 211, 422, 844, 1688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3365 and 3376. The biggest common factor number is the GCF number.
So the greatest common factor 3365 and 3376 is 1.

Also check out the Least Common Multiple of 3365 and 3376