What is the Greatest Common Factor of 5392 and 5408?

Greatest common factor (GCF) of 5392 and 5408 is 16.

GCF(5392,5408) = 16

We will now calculate the prime factors of 5392 and 5408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5392 and 5408.

How to find the GCF of 5392 and 5408?

We will first find the prime factorization of 5392 and 5408. After we will calculate the factors of 5392 and 5408 and find the biggest common factor number .

Step-1: Prime Factorization of 5392

Prime factors of 5392 are 2, 337. Prime factorization of 5392 in exponential form is:

5392 = 2⁴ × 337¹

Step-2: Prime Factorization of 5408

Prime factors of 5408 are 2, 13. Prime factorization of 5408 in exponential form is:

5408 = 2⁵ × 13²

Step-3: Factors of 5392

List of positive integer factors of 5392 that divides 5392 without a remainder.

1, 2, 4, 8, 16, 337, 674, 1348, 2696

Step-4: Factors of 5408

List of positive integer factors of 5408 that divides 5392 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5392 and 5408. The biggest common factor number is the GCF number.
So the greatest common factor 5392 and 5408 is 16.

Also check out the Least Common Multiple of 5392 and 5408