What is the Greatest Common Factor of 3390 and 3406?

Greatest common factor (GCF) of 3390 and 3406 is 2.

GCF(3390,3406) = 2

We will now calculate the prime factors of 3390 and 3406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3390 and 3406.

How to find the GCF of 3390 and 3406?

We will first find the prime factorization of 3390 and 3406. After we will calculate the factors of 3390 and 3406 and find the biggest common factor number .

Step-1: Prime Factorization of 3390

Prime factors of 3390 are 2, 3, 5, 113. Prime factorization of 3390 in exponential form is:

3390 = 2¹ × 3¹ × 5¹ × 113¹

Step-2: Prime Factorization of 3406

Prime factors of 3406 are 2, 13, 131. Prime factorization of 3406 in exponential form is:

3406 = 2¹ × 13¹ × 131¹

Step-3: Factors of 3390

List of positive integer factors of 3390 that divides 3390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695

Step-4: Factors of 3406

List of positive integer factors of 3406 that divides 3390 without a remainder.

1, 2, 13, 26, 131, 262, 1703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3390 and 3406. The biggest common factor number is the GCF number.
So the greatest common factor 3390 and 3406 is 2.

Also check out the Least Common Multiple of 3390 and 3406