What is the Greatest Common Factor of 5405 and 5413?

Greatest common factor (GCF) of 5405 and 5413 is 1.

GCF(5405,5413) = 1

We will now calculate the prime factors of 5405 and 5413, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5405 and 5413.

How to find the GCF of 5405 and 5413?

We will first find the prime factorization of 5405 and 5413. After we will calculate the factors of 5405 and 5413 and find the biggest common factor number .

Step-1: Prime Factorization of 5405

Prime factors of 5405 are 5, 23, 47. Prime factorization of 5405 in exponential form is:

5405 = 5¹ × 23¹ × 47¹

Step-2: Prime Factorization of 5413

Prime factors of 5413 are 5413. Prime factorization of 5413 in exponential form is:

5413 = 5413¹

Step-3: Factors of 5405

List of positive integer factors of 5405 that divides 5405 without a remainder.

1, 5, 23, 47, 115, 235, 1081

Step-4: Factors of 5413

List of positive integer factors of 5413 that divides 5405 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5405 and 5413. The biggest common factor number is the GCF number.
So the greatest common factor 5405 and 5413 is 1.

Also check out the Least Common Multiple of 5405 and 5413