What is the Greatest Common Factor of 13408 and 13428?

Greatest common factor (GCF) of 13408 and 13428 is 4.

GCF(13408,13428) = 4

We will now calculate the prime factors of 13408 and 13428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13408 and 13428.

How to find the GCF of 13408 and 13428?

We will first find the prime factorization of 13408 and 13428. After we will calculate the factors of 13408 and 13428 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 13428

Prime factors of 13428 are 2, 3, 373. Prime factorization of 13428 in exponential form is:

13428 = 2² × 3² × 373¹

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 13428

List of positive integer factors of 13428 that divides 13408 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 373, 746, 1119, 1492, 2238, 3357, 4476, 6714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13408 and 13428. The biggest common factor number is the GCF number.
So the greatest common factor 13408 and 13428 is 4.

Also check out the Least Common Multiple of 13408 and 13428