What is the Greatest Common Factor of 5405 and 5423?

Greatest common factor (GCF) of 5405 and 5423 is 1.

GCF(5405,5423) = 1

We will now calculate the prime factors of 5405 and 5423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5405 and 5423.

How to find the GCF of 5405 and 5423?

We will first find the prime factorization of 5405 and 5423. After we will calculate the factors of 5405 and 5423 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 5423

Prime factors of 5423 are 11, 17, 29. Prime factorization of 5423 in exponential form is:

5423 = 11¹ × 17¹ × 29¹

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 5423

List of positive integer factors of 5423 that divides 5405 without a remainder.

1, 11, 17, 29, 187, 319, 493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5405 and 5423. The biggest common factor number is the GCF number.
So the greatest common factor 5405 and 5423 is 1.

Also check out the Least Common Multiple of 5405 and 5423