What is the Greatest Common Factor of 3294 and 3309?

Greatest common factor (GCF) of 3294 and 3309 is 3.

GCF(3294,3309) = 3

We will now calculate the prime factors of 3294 and 3309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3294 and 3309.

How to find the GCF of 3294 and 3309?

We will first find the prime factorization of 3294 and 3309. After we will calculate the factors of 3294 and 3309 and find the biggest common factor number .

Step-1: Prime Factorization of 3294

Prime factors of 3294 are 2, 3, 61. Prime factorization of 3294 in exponential form is:

3294 = 2¹ × 3³ × 61¹

Step-2: Prime Factorization of 3309

Prime factors of 3309 are 3, 1103. Prime factorization of 3309 in exponential form is:

3309 = 3¹ × 1103¹

Step-3: Factors of 3294

List of positive integer factors of 3294 that divides 3294 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 122, 183, 366, 549, 1098, 1647

Step-4: Factors of 3309

List of positive integer factors of 3309 that divides 3294 without a remainder.

1, 3, 1103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3294 and 3309. The biggest common factor number is the GCF number.
So the greatest common factor 3294 and 3309 is 3.

Also check out the Least Common Multiple of 3294 and 3309