What is the Greatest Common Factor of 480 and 486?

Greatest common factor (GCF) of 480 and 486 is 6.

GCF(480,486) = 6

We will now calculate the prime factors of 480 and 486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 480 and 486.

How to find the GCF of 480 and 486?

We will first find the prime factorization of 480 and 486. After we will calculate the factors of 480 and 486 and find the biggest common factor number .

Step-1: Prime Factorization of 480

Prime factors of 480 are 2, 3, 5. Prime factorization of 480 in exponential form is:

480 = 2⁵ × 3¹ × 5¹

Step-2: Prime Factorization of 486

Prime factors of 486 are 2, 3. Prime factorization of 486 in exponential form is:

486 = 2¹ × 3⁵

Step-3: Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240

Step-4: Factors of 486

List of positive integer factors of 486 that divides 480 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 480 and 486. The biggest common factor number is the GCF number.
So the greatest common factor 480 and 486 is 6.

Also check out the Least Common Multiple of 480 and 486