What is the Greatest Common Factor of 3354 and 3359?

Greatest common factor (GCF) of 3354 and 3359 is 1.

GCF(3354,3359) = 1

We will now calculate the prime factors of 3354 and 3359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3354 and 3359.

How to find the GCF of 3354 and 3359?

We will first find the prime factorization of 3354 and 3359. After we will calculate the factors of 3354 and 3359 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 3359

Prime factors of 3359 are 3359. Prime factorization of 3359 in exponential form is:

3359 = 3359¹

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 3359

List of positive integer factors of 3359 that divides 3354 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3354 and 3359. The biggest common factor number is the GCF number.
So the greatest common factor 3354 and 3359 is 1.

Also check out the Least Common Multiple of 3354 and 3359