What is the Greatest Common Factor of 3340 and 3350?

Greatest common factor (GCF) of 3340 and 3350 is 10.

GCF(3340,3350) = 10

We will now calculate the prime factors of 3340 and 3350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3340 and 3350.

How to find the GCF of 3340 and 3350?

We will first find the prime factorization of 3340 and 3350. After we will calculate the factors of 3340 and 3350 and find the biggest common factor number .

Step-1: Prime Factorization of 3340

Prime factors of 3340 are 2, 5, 167. Prime factorization of 3340 in exponential form is:

3340 = 2² × 5¹ × 167¹

Step-2: 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-3: Factors of 3340

List of positive integer factors of 3340 that divides 3340 without a remainder.

1, 2, 4, 5, 10, 20, 167, 334, 668, 835, 1670

Step-4: Factors of 3350

List of positive integer factors of 3350 that divides 3340 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3340 and 3350. The biggest common factor number is the GCF number.
So the greatest common factor 3340 and 3350 is 10.

Also check out the Least Common Multiple of 3340 and 3350