What is the Greatest Common Factor of 3350 and 3360?

Greatest common factor (GCF) of 3350 and 3360 is 10.

GCF(3350,3360) = 10

We will now calculate the prime factors of 3350 and 3360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3350 and 3360.

How to find the GCF of 3350 and 3360?

We will first find the prime factorization of 3350 and 3360. After we will calculate the factors of 3350 and 3360 and find the biggest common factor number .

Step-1: Prime Factorization of 3350

Prime factors of 3350 are 2, 5, 67. Prime factorization of 3350 in exponential form is:

3350 = 2¹ × 5² × 67¹

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 3350

List of positive integer factors of 3350 that divides 3350 without a remainder.

1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675

Step-4: Factors of 3360

List of positive integer factors of 3360 that divides 3350 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 3350 and 3360. The biggest common factor number is the GCF number.
So the greatest common factor 3350 and 3360 is 10.

Also check out the Least Common Multiple of 3350 and 3360