What is the Greatest Common Factor of 3334 and 3354?

Greatest common factor (GCF) of 3334 and 3354 is 2.

GCF(3334,3354) = 2

We will now calculate the prime factors of 3334 and 3354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3334 and 3354.

How to find the GCF of 3334 and 3354?

We will first find the prime factorization of 3334 and 3354. After we will calculate the factors of 3334 and 3354 and find the biggest common factor number .

Step-1: Prime Factorization of 3334

Prime factors of 3334 are 2, 1667. Prime factorization of 3334 in exponential form is:

3334 = 2¹ × 1667¹

Step-2: Prime Factorization of 3354

Prime factors of 3354 are 2, 3, 13, 43. Prime factorization of 3354 in exponential form is:

3354 = 2¹ × 3¹ × 13¹ × 43¹

Step-3: Factors of 3334

List of positive integer factors of 3334 that divides 3334 without a remainder.

1, 2, 1667

Step-4: Factors of 3354

List of positive integer factors of 3354 that divides 3334 without a remainder.

1, 2, 3, 6, 13, 26, 39, 43, 78, 86, 129, 258, 559, 1118, 1677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3334 and 3354. The biggest common factor number is the GCF number.
So the greatest common factor 3334 and 3354 is 2.

Also check out the Least Common Multiple of 3334 and 3354