What is the Greatest Common Factor of 3353 and 3360?

Greatest common factor (GCF) of 3353 and 3360 is 7.

GCF(3353,3360) = 7

We will now calculate the prime factors of 3353 and 3360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3353 and 3360.

How to find the GCF of 3353 and 3360?

We will first find the prime factorization of 3353 and 3360. After we will calculate the factors of 3353 and 3360 and find the biggest common factor number .

Step-1: Prime Factorization of 3353

Prime factors of 3353 are 7, 479. Prime factorization of 3353 in exponential form is:

3353 = 7¹ × 479¹

Step-2: 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-3: Factors of 3353

List of positive integer factors of 3353 that divides 3353 without a remainder.

1, 7, 479

Step-4: Factors of 3360

List of positive integer factors of 3360 that divides 3353 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3353 and 3360. The biggest common factor number is the GCF number.
So the greatest common factor 3353 and 3360 is 7.

Also check out the Least Common Multiple of 3353 and 3360