What is the Greatest Common Factor of 5415 and 5430?

Greatest common factor (GCF) of 5415 and 5430 is 15.

GCF(5415,5430) = 15

We will now calculate the prime factors of 5415 and 5430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5415 and 5430.

How to find the GCF of 5415 and 5430?

We will first find the prime factorization of 5415 and 5430. After we will calculate the factors of 5415 and 5430 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5430

Prime factors of 5430 are 2, 3, 5, 181. Prime factorization of 5430 in exponential form is:

5430 = 2¹ × 3¹ × 5¹ × 181¹

Step-3: Factors of 5415

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

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

Step-4: Factors of 5430

List of positive integer factors of 5430 that divides 5415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5415 and 5430. The biggest common factor number is the GCF number.
So the greatest common factor 5415 and 5430 is 15.

Also check out the Least Common Multiple of 5415 and 5430