What is the Greatest Common Factor of 5408 and 5416?

Greatest common factor (GCF) of 5408 and 5416 is 8.

GCF(5408,5416) = 8

We will now calculate the prime factors of 5408 and 5416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5408 and 5416.

How to find the GCF of 5408 and 5416?

We will first find the prime factorization of 5408 and 5416. After we will calculate the factors of 5408 and 5416 and find the biggest common factor number .

Step-1: Prime Factorization of 5408

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

5408 = 2⁵ × 13²

Step-2: Prime Factorization of 5416

Prime factors of 5416 are 2, 677. Prime factorization of 5416 in exponential form is:

5416 = 2³ × 677¹

Step-3: Factors of 5408

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

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

Step-4: Factors of 5416

List of positive integer factors of 5416 that divides 5408 without a remainder.

1, 2, 4, 8, 677, 1354, 2708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5408 and 5416. The biggest common factor number is the GCF number.
So the greatest common factor 5408 and 5416 is 8.

Also check out the Least Common Multiple of 5408 and 5416