What is the Greatest Common Factor of 5334 and 5343?

Greatest common factor (GCF) of 5334 and 5343 is 3.

GCF(5334,5343) = 3

We will now calculate the prime factors of 5334 and 5343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5334 and 5343.

How to find the GCF of 5334 and 5343?

We will first find the prime factorization of 5334 and 5343. After we will calculate the factors of 5334 and 5343 and find the biggest common factor number .

Step-1: Prime Factorization of 5334

Prime factors of 5334 are 2, 3, 7, 127. Prime factorization of 5334 in exponential form is:

5334 = 2¹ × 3¹ × 7¹ × 127¹

Step-2: Prime Factorization of 5343

Prime factors of 5343 are 3, 13, 137. Prime factorization of 5343 in exponential form is:

5343 = 3¹ × 13¹ × 137¹

Step-3: Factors of 5334

List of positive integer factors of 5334 that divides 5334 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667

Step-4: Factors of 5343

List of positive integer factors of 5343 that divides 5334 without a remainder.

1, 3, 13, 39, 137, 411, 1781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5334 and 5343. The biggest common factor number is the GCF number.
So the greatest common factor 5334 and 5343 is 3.

Also check out the Least Common Multiple of 5334 and 5343