What is the Greatest Common Factor of 3360 and 3375?

Greatest common factor (GCF) of 3360 and 3375 is 15.

GCF(3360,3375) = 15

We will now calculate the prime factors of 3360 and 3375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3360 and 3375.

How to find the GCF of 3360 and 3375?

We will first find the prime factorization of 3360 and 3375. After we will calculate the factors of 3360 and 3375 and find the biggest common factor number .

Step-1: Prime Factorization of 3360

Prime factors of 3360 are 2, 3, 5, 7. Prime factorization of 3360 in exponential form is:

3360 = 2⁵ × 3¹ × 5¹ × 7¹

Step-2: Prime Factorization of 3375

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

3375 = 3³ × 5³

Step-3: Factors of 3360

List of positive integer factors of 3360 that divides 3360 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 70, 80, 84, 96, 105, 112, 120, 140, 160, 168, 210, 224, 240, 280, 336, 420, 480, 560, 672, 840, 1120, 1680

Step-4: Factors of 3375

List of positive integer factors of 3375 that divides 3360 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3360 and 3375. The biggest common factor number is the GCF number.
So the greatest common factor 3360 and 3375 is 15.

Also check out the Least Common Multiple of 3360 and 3375