What is the Greatest Common Factor of 3375 and 3385?

Greatest common factor (GCF) of 3375 and 3385 is 5.

GCF(3375,3385) = 5

We will now calculate the prime factors of 3375 and 3385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3375 and 3385.

How to find the GCF of 3375 and 3385?

We will first find the prime factorization of 3375 and 3385. After we will calculate the factors of 3375 and 3385 and find the biggest common factor number .

Step-1: Prime Factorization of 3375

Prime factors of 3375 are 3, 5. Prime factorization of 3375 in exponential form is:

3375 = 3³ × 5³

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 3375

List of positive integer factors of 3375 that divides 3375 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125

Step-4: Factors of 3385

List of positive integer factors of 3385 that divides 3375 without a remainder.

1, 5, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3375 and 3385. The biggest common factor number is the GCF number.
So the greatest common factor 3375 and 3385 is 5.

Also check out the Least Common Multiple of 3375 and 3385