What is the Greatest Common Factor of 5385 and 5404?

Greatest common factor (GCF) of 5385 and 5404 is 1.

GCF(5385,5404) = 1

We will now calculate the prime factors of 5385 and 5404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5385 and 5404.

How to find the GCF of 5385 and 5404?

We will first find the prime factorization of 5385 and 5404. After we will calculate the factors of 5385 and 5404 and find the biggest common factor number .

Step-1: Prime Factorization of 5385

Prime factors of 5385 are 3, 5, 359. Prime factorization of 5385 in exponential form is:

5385 = 3¹ × 5¹ × 359¹

Step-2: Prime Factorization of 5404

Prime factors of 5404 are 2, 7, 193. Prime factorization of 5404 in exponential form is:

5404 = 2² × 7¹ × 193¹

Step-3: Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1, 3, 5, 15, 359, 1077, 1795

Step-4: Factors of 5404

List of positive integer factors of 5404 that divides 5385 without a remainder.

1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5385 and 5404. The biggest common factor number is the GCF number.
So the greatest common factor 5385 and 5404 is 1.

Also check out the Least Common Multiple of 5385 and 5404