What is the Greatest Common Factor of 13408 and 13420?

Greatest common factor (GCF) of 13408 and 13420 is 4.

GCF(13408,13420) = 4

We will now calculate the prime factors of 13408 and 13420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13408 and 13420.

How to find the GCF of 13408 and 13420?

We will first find the prime factorization of 13408 and 13420. After we will calculate the factors of 13408 and 13420 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 13420

Prime factors of 13420 are 2, 5, 11, 61. Prime factorization of 13420 in exponential form is:

13420 = 2² × 5¹ × 11¹ × 61¹

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 13420

List of positive integer factors of 13420 that divides 13408 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 61, 110, 122, 220, 244, 305, 610, 671, 1220, 1342, 2684, 3355, 6710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13408 and 13420. The biggest common factor number is the GCF number.
So the greatest common factor 13408 and 13420 is 4.

Also check out the Least Common Multiple of 13408 and 13420