What is the Greatest Common Factor of 5346 and 5364?

Greatest common factor (GCF) of 5346 and 5364 is 18.

GCF(5346,5364) = 18

We will now calculate the prime factors of 5346 and 5364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5346 and 5364.

How to find the GCF of 5346 and 5364?

We will first find the prime factorization of 5346 and 5364. After we will calculate the factors of 5346 and 5364 and find the biggest common factor number .

Step-1: Prime Factorization of 5346

Prime factors of 5346 are 2, 3, 11. Prime factorization of 5346 in exponential form is:

5346 = 2¹ × 3⁵ × 11¹

Step-2: Prime Factorization of 5364

Prime factors of 5364 are 2, 3, 149. Prime factorization of 5364 in exponential form is:

5364 = 2² × 3² × 149¹

Step-3: Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673

Step-4: Factors of 5364

List of positive integer factors of 5364 that divides 5346 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 149, 298, 447, 596, 894, 1341, 1788, 2682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5346 and 5364. The biggest common factor number is the GCF number.
So the greatest common factor 5346 and 5364 is 18.

Also check out the Least Common Multiple of 5346 and 5364