What is the Greatest Common Factor of 5343 and 5356?

Greatest common factor (GCF) of 5343 and 5356 is 13.

GCF(5343,5356) = 13

We will now calculate the prime factors of 5343 and 5356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5343 and 5356.

How to find the GCF of 5343 and 5356?

We will first find the prime factorization of 5343 and 5356. After we will calculate the factors of 5343 and 5356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5356

Prime factors of 5356 are 2, 13, 103. Prime factorization of 5356 in exponential form is:

5356 = 2² × 13¹ × 103¹

Step-3: Factors of 5343

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

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

Step-4: Factors of 5356

List of positive integer factors of 5356 that divides 5343 without a remainder.

1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5343 and 5356. The biggest common factor number is the GCF number.
So the greatest common factor 5343 and 5356 is 13.

Also check out the Least Common Multiple of 5343 and 5356