What is the Greatest Common Factor of 5355 and 5363?

Greatest common factor (GCF) of 5355 and 5363 is 1.

GCF(5355,5363) = 1

We will now calculate the prime factors of 5355 and 5363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5355 and 5363.

How to find the GCF of 5355 and 5363?

We will first find the prime factorization of 5355 and 5363. After we will calculate the factors of 5355 and 5363 and find the biggest common factor number .

Step-1: Prime Factorization of 5355

Prime factors of 5355 are 3, 5, 7, 17. Prime factorization of 5355 in exponential form is:

5355 = 3² × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 5363

Prime factors of 5363 are 31, 173. Prime factorization of 5363 in exponential form is:

5363 = 31¹ × 173¹

Step-3: Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785

Step-4: Factors of 5363

List of positive integer factors of 5363 that divides 5355 without a remainder.

1, 31, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5355 and 5363. The biggest common factor number is the GCF number.
So the greatest common factor 5355 and 5363 is 1.

Also check out the Least Common Multiple of 5355 and 5363