What is the Greatest Common Factor of 468 and 486?

Greatest common factor (GCF) of 468 and 486 is 18.

GCF(468,486) = 18

We will now calculate the prime factors of 468 and 486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 468 and 486.

How to find the GCF of 468 and 486?

We will first find the prime factorization of 468 and 486. After we will calculate the factors of 468 and 486 and find the biggest common factor number .

Step-1: Prime Factorization of 468

Prime factors of 468 are 2, 3, 13. Prime factorization of 468 in exponential form is:

468 = 2² × 3² × 13¹

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 468

List of positive integer factors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234

Step-4: Factors of 486

List of positive integer factors of 486 that divides 468 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 468 and 486. The biggest common factor number is the GCF number.
So the greatest common factor 468 and 486 is 18.

Also check out the Least Common Multiple of 468 and 486