What is the Greatest Common Factor of 13404 and 13408?

Greatest common factor (GCF) of 13404 and 13408 is 4.

GCF(13404,13408) = 4

We will now calculate the prime factors of 13404 and 13408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13404 and 13408.

How to find the GCF of 13404 and 13408?

We will first find the prime factorization of 13404 and 13408. After we will calculate the factors of 13404 and 13408 and find the biggest common factor number .

Step-1: Prime Factorization of 13404

Prime factors of 13404 are 2, 3, 1117. Prime factorization of 13404 in exponential form is:

13404 = 2² × 3¹ × 1117¹

Step-2: Prime Factorization of 13408

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

13408 = 2⁵ × 419¹

Step-3: Factors of 13404

List of positive integer factors of 13404 that divides 13404 without a remainder.

1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702

Step-4: Factors of 13408

List of positive integer factors of 13408 that divides 13404 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13404 and 13408. The biggest common factor number is the GCF number.
So the greatest common factor 13404 and 13408 is 4.

Also check out the Least Common Multiple of 13404 and 13408