What is the Greatest Common Factor of 13408 and 13423?

Greatest common factor (GCF) of 13408 and 13423 is 1.

GCF(13408,13423) = 1

We will now calculate the prime factors of 13408 and 13423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13408 and 13423.

How to find the GCF of 13408 and 13423?

We will first find the prime factorization of 13408 and 13423. After we will calculate the factors of 13408 and 13423 and find the biggest common factor number .

Step-1: Prime Factorization of 13408

Prime factors of 13408 are 2, 419. Prime factorization of 13408 in exponential form is:

13408 = 2⁵ × 419¹

Step-2: Prime Factorization of 13423

Prime factors of 13423 are 31, 433. Prime factorization of 13423 in exponential form is:

13423 = 31¹ × 433¹

Step-3: Factors of 13408

List of positive integer factors of 13408 that divides 13408 without a remainder.

1, 2, 4, 8, 16, 32, 419, 838, 1676, 3352, 6704

Step-4: Factors of 13423

List of positive integer factors of 13423 that divides 13408 without a remainder.

1, 31, 433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13408 and 13423. The biggest common factor number is the GCF number.
So the greatest common factor 13408 and 13423 is 1.

Also check out the Least Common Multiple of 13408 and 13423