What is the Greatest Common Factor of 3310 and 3330?

Greatest common factor (GCF) of 3310 and 3330 is 10.

GCF(3310,3330) = 10

We will now calculate the prime factors of 3310 and 3330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3310 and 3330.

How to find the GCF of 3310 and 3330?

We will first find the prime factorization of 3310 and 3330. After we will calculate the factors of 3310 and 3330 and find the biggest common factor number .

Step-1: Prime Factorization of 3310

Prime factors of 3310 are 2, 5, 331. Prime factorization of 3310 in exponential form is:

3310 = 2¹ × 5¹ × 331¹

Step-2: Prime Factorization of 3330

Prime factors of 3330 are 2, 3, 5, 37. Prime factorization of 3330 in exponential form is:

3330 = 2¹ × 3² × 5¹ × 37¹

Step-3: Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1, 2, 5, 10, 331, 662, 1655

Step-4: Factors of 3330

List of positive integer factors of 3330 that divides 3310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3310 and 3330. The biggest common factor number is the GCF number.
So the greatest common factor 3310 and 3330 is 10.

Also check out the Least Common Multiple of 3310 and 3330