What is the Greatest Common Factor of 3320 and 3335?

Greatest common factor (GCF) of 3320 and 3335 is 5.

GCF(3320,3335) = 5

We will now calculate the prime factors of 3320 and 3335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3320 and 3335.

How to find the GCF of 3320 and 3335?

We will first find the prime factorization of 3320 and 3335. After we will calculate the factors of 3320 and 3335 and find the biggest common factor number .

Step-1: Prime Factorization of 3320

Prime factors of 3320 are 2, 5, 83. Prime factorization of 3320 in exponential form is:

3320 = 2³ × 5¹ × 83¹

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 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660

Step-4: Factors of 3335

List of positive integer factors of 3335 that divides 3320 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3320 and 3335. The biggest common factor number is the GCF number.
So the greatest common factor 3320 and 3335 is 5.

Also check out the Least Common Multiple of 3320 and 3335