What is the Greatest Common Factor of 3320 and 3330?

Greatest common factor (GCF) of 3320 and 3330 is 10.

GCF(3320,3330) = 10

We will now calculate the prime factors of 3320 and 3330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3320 and 3330.

How to find the GCF of 3320 and 3330?

We will first find the prime factorization of 3320 and 3330. After we will calculate the factors of 3320 and 3330 and find the biggest common factor number .

Step-1: Prime Factorization of 3320

Prime factors of 3320 are 2, 5, 83. Prime factorization of 3320 in exponential form is:

3320 = 2³ × 5¹ × 83¹

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 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660

Step-4: Factors of 3330

List of positive integer factors of 3330 that divides 3320 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 3320 and 3330. The biggest common factor number is the GCF number.
So the greatest common factor 3320 and 3330 is 10.

Also check out the Least Common Multiple of 3320 and 3330