What is the Greatest Common Factor of 5338 and 5346?

Greatest common factor (GCF) of 5338 and 5346 is 2.

GCF(5338,5346) = 2

We will now calculate the prime factors of 5338 and 5346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5338 and 5346.

How to find the GCF of 5338 and 5346?

We will first find the prime factorization of 5338 and 5346. After we will calculate the factors of 5338 and 5346 and find the biggest common factor number .

Step-1: Prime Factorization of 5338

Prime factors of 5338 are 2, 17, 157. Prime factorization of 5338 in exponential form is:

5338 = 2¹ × 17¹ × 157¹

Step-2: 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-3: Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1, 2, 17, 34, 157, 314, 2669

Step-4: Factors of 5346

List of positive integer factors of 5346 that divides 5338 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5338 and 5346. The biggest common factor number is the GCF number.
So the greatest common factor 5338 and 5346 is 2.

Also check out the Least Common Multiple of 5338 and 5346