What is the Greatest Common Factor of 5400 and 5415?

Greatest common factor (GCF) of 5400 and 5415 is 15.

GCF(5400,5415) = 15

We will now calculate the prime factors of 5400 and 5415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5400 and 5415.

How to find the GCF of 5400 and 5415?

We will first find the prime factorization of 5400 and 5415. After we will calculate the factors of 5400 and 5415 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 5415

Prime factors of 5415 are 3, 5, 19. Prime factorization of 5415 in exponential form is:

5415 = 3¹ × 5¹ × 19²

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 5415

List of positive integer factors of 5415 that divides 5400 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5400 and 5415. The biggest common factor number is the GCF number.
So the greatest common factor 5400 and 5415 is 15.

Also check out the Least Common Multiple of 5400 and 5415