What is the Greatest Common Factor of 468 and 484?

Greatest common factor (GCF) of 468 and 484 is 4.

GCF(468,484) = 4

We will now calculate the prime factors of 468 and 484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 468 and 484.

How to find the GCF of 468 and 484?

We will first find the prime factorization of 468 and 484. After we will calculate the factors of 468 and 484 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 484

Prime factors of 484 are 2, 11. Prime factorization of 484 in exponential form is:

484 = 2² × 11²

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 484

List of positive integer factors of 484 that divides 468 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 468 and 484. The biggest common factor number is the GCF number.
So the greatest common factor 468 and 484 is 4.

Also check out the Least Common Multiple of 468 and 484