What is the Greatest Common Factor of 5400 and 5408?

Greatest common factor (GCF) of 5400 and 5408 is 8.

GCF(5400,5408) = 8

We will now calculate the prime factors of 5400 and 5408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5400 and 5408.

How to find the GCF of 5400 and 5408?

We will first find the prime factorization of 5400 and 5408. After we will calculate the factors of 5400 and 5408 and find the biggest common factor number .

Step-1: Prime Factorization of 5400

Prime factors of 5400 are 2, 3, 5. Prime factorization of 5400 in exponential form is:

5400 = 2³ × 3³ × 5²

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 5400

List of positive integer factors of 5400 that divides 5400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700

Step-4: Factors of 5408

List of positive integer factors of 5408 that divides 5400 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 5400 and 5408. The biggest common factor number is the GCF number.
So the greatest common factor 5400 and 5408 is 8.

Also check out the Least Common Multiple of 5400 and 5408