What is the Greatest Common Factor of 3354 and 3358?

Greatest common factor (GCF) of 3354 and 3358 is 2.

GCF(3354,3358) = 2

We will now calculate the prime factors of 3354 and 3358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3354 and 3358.

How to find the GCF of 3354 and 3358?

We will first find the prime factorization of 3354 and 3358. After we will calculate the factors of 3354 and 3358 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3358

Prime factors of 3358 are 2, 23, 73. Prime factorization of 3358 in exponential form is:

3358 = 2¹ × 23¹ × 73¹

Step-3: Factors of 3354

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

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

Step-4: Factors of 3358

List of positive integer factors of 3358 that divides 3354 without a remainder.

1, 2, 23, 46, 73, 146, 1679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3354 and 3358. The biggest common factor number is the GCF number.
So the greatest common factor 3354 and 3358 is 2.

Also check out the Least Common Multiple of 3354 and 3358