What is the Greatest Common Factor of 3360 and 3371?

Greatest common factor (GCF) of 3360 and 3371 is 1.

GCF(3360,3371) = 1

We will now calculate the prime factors of 3360 and 3371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3360 and 3371.

How to find the GCF of 3360 and 3371?

We will first find the prime factorization of 3360 and 3371. After we will calculate the factors of 3360 and 3371 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 3371

Prime factors of 3371 are 3371. Prime factorization of 3371 in exponential form is:

3371 = 3371¹

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 3371

List of positive integer factors of 3371 that divides 3360 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3360 and 3371. The biggest common factor number is the GCF number.
So the greatest common factor 3360 and 3371 is 1.

Also check out the Least Common Multiple of 3360 and 3371