What is the Greatest Common Factor of 3354 and 3363?

Greatest common factor (GCF) of 3354 and 3363 is 3.

GCF(3354,3363) = 3

We will now calculate the prime factors of 3354 and 3363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3354 and 3363.

How to find the GCF of 3354 and 3363?

We will first find the prime factorization of 3354 and 3363. After we will calculate the factors of 3354 and 3363 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 3363

Prime factors of 3363 are 3, 19, 59. Prime factorization of 3363 in exponential form is:

3363 = 3¹ × 19¹ × 59¹

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 3363

List of positive integer factors of 3363 that divides 3354 without a remainder.

1, 3, 19, 57, 59, 177, 1121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3354 and 3363. The biggest common factor number is the GCF number.
So the greatest common factor 3354 and 3363 is 3.

Also check out the Least Common Multiple of 3354 and 3363