What is the Greatest Common Factor of 3290 and 3300?

Greatest common factor (GCF) of 3290 and 3300 is 10.

GCF(3290,3300) = 10

We will now calculate the prime factors of 3290 and 3300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3290 and 3300.

How to find the GCF of 3290 and 3300?

We will first find the prime factorization of 3290 and 3300. After we will calculate the factors of 3290 and 3300 and find the biggest common factor number .

Step-1: Prime Factorization of 3290

Prime factors of 3290 are 2, 5, 7, 47. Prime factorization of 3290 in exponential form is:

3290 = 2¹ × 5¹ × 7¹ × 47¹

Step-2: Prime Factorization of 3300

Prime factors of 3300 are 2, 3, 5, 11. Prime factorization of 3300 in exponential form is:

3300 = 2² × 3¹ × 5² × 11¹

Step-3: Factors of 3290

List of positive integer factors of 3290 that divides 3290 without a remainder.

1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645

Step-4: Factors of 3300

List of positive integer factors of 3300 that divides 3290 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3290 and 3300. The biggest common factor number is the GCF number.
So the greatest common factor 3290 and 3300 is 10.

Also check out the Least Common Multiple of 3290 and 3300