What is the Greatest Common Factor of 3375 and 3390?

Greatest common factor (GCF) of 3375 and 3390 is 15.

GCF(3375,3390) = 15

We will now calculate the prime factors of 3375 and 3390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3375 and 3390.

How to find the GCF of 3375 and 3390?

We will first find the prime factorization of 3375 and 3390. After we will calculate the factors of 3375 and 3390 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 3390

Prime factors of 3390 are 2, 3, 5, 113. Prime factorization of 3390 in exponential form is:

3390 = 2¹ × 3¹ × 5¹ × 113¹

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 3390

List of positive integer factors of 3390 that divides 3375 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3375 and 3390. The biggest common factor number is the GCF number.
So the greatest common factor 3375 and 3390 is 15.

Also check out the Least Common Multiple of 3375 and 3390