What is the Greatest Common Factor of 3380 and 3385?

Greatest common factor (GCF) of 3380 and 3385 is 5.

GCF(3380,3385) = 5

We will now calculate the prime factors of 3380 and 3385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3380 and 3385.

How to find the GCF of 3380 and 3385?

We will first find the prime factorization of 3380 and 3385. After we will calculate the factors of 3380 and 3385 and find the biggest common factor number .

Step-1: Prime Factorization of 3380

Prime factors of 3380 are 2, 5, 13. Prime factorization of 3380 in exponential form is:

3380 = 2² × 5¹ × 13²

Step-2: Prime Factorization of 3385

Prime factors of 3385 are 5, 677. Prime factorization of 3385 in exponential form is:

3385 = 5¹ × 677¹

Step-3: Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690

Step-4: Factors of 3385

List of positive integer factors of 3385 that divides 3380 without a remainder.

1, 5, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3380 and 3385. The biggest common factor number is the GCF number.
So the greatest common factor 3380 and 3385 is 5.

Also check out the Least Common Multiple of 3380 and 3385