What is the Greatest Common Factor of 3315 and 3320?

Greatest common factor (GCF) of 3315 and 3320 is 5.

GCF(3315,3320) = 5

We will now calculate the prime factors of 3315 and 3320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3315 and 3320.

How to find the GCF of 3315 and 3320?

We will first find the prime factorization of 3315 and 3320. After we will calculate the factors of 3315 and 3320 and find the biggest common factor number .

Step-1: Prime Factorization of 3315

Prime factors of 3315 are 3, 5, 13, 17. Prime factorization of 3315 in exponential form is:

3315 = 3¹ × 5¹ × 13¹ × 17¹

Step-2: 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-3: Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105

Step-4: Factors of 3320

List of positive integer factors of 3320 that divides 3315 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3315 and 3320. The biggest common factor number is the GCF number.
So the greatest common factor 3315 and 3320 is 5.

Also check out the Least Common Multiple of 3315 and 3320