What is the Greatest Common Factor of 5355 and 5369?

Greatest common factor (GCF) of 5355 and 5369 is 7.

GCF(5355,5369) = 7

We will now calculate the prime factors of 5355 and 5369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5355 and 5369.

How to find the GCF of 5355 and 5369?

We will first find the prime factorization of 5355 and 5369. After we will calculate the factors of 5355 and 5369 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 5369

Prime factors of 5369 are 7, 13, 59. Prime factorization of 5369 in exponential form is:

5369 = 7¹ × 13¹ × 59¹

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 5369

List of positive integer factors of 5369 that divides 5355 without a remainder.

1, 7, 13, 59, 91, 413, 767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5355 and 5369. The biggest common factor number is the GCF number.
So the greatest common factor 5355 and 5369 is 7.

Also check out the Least Common Multiple of 5355 and 5369