What is the Greatest Common Factor of 13408 and 13421?

Greatest common factor (GCF) of 13408 and 13421 is 1.

GCF(13408,13421) = 1

We will now calculate the prime factors of 13408 and 13421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13408 and 13421.

How to find the GCF of 13408 and 13421?

We will first find the prime factorization of 13408 and 13421. After we will calculate the factors of 13408 and 13421 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 13421

Prime factors of 13421 are 13421. Prime factorization of 13421 in exponential form is:

13421 = 13421¹

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 13421

List of positive integer factors of 13421 that divides 13408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13408 and 13421. The biggest common factor number is the GCF number.
So the greatest common factor 13408 and 13421 is 1.

Also check out the Least Common Multiple of 13408 and 13421