What is the Greatest Common Factor of 5334 and 5349?

Greatest common factor (GCF) of 5334 and 5349 is 3.

GCF(5334,5349) = 3

We will now calculate the prime factors of 5334 and 5349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5334 and 5349.

How to find the GCF of 5334 and 5349?

We will first find the prime factorization of 5334 and 5349. After we will calculate the factors of 5334 and 5349 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 5349

Prime factors of 5349 are 3, 1783. Prime factorization of 5349 in exponential form is:

5349 = 3¹ × 1783¹

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 5349

List of positive integer factors of 5349 that divides 5334 without a remainder.

1, 3, 1783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5334 and 5349. The biggest common factor number is the GCF number.
So the greatest common factor 5334 and 5349 is 3.

Also check out the Least Common Multiple of 5334 and 5349