What is the Greatest Common Factor of 468 and 481?

Greatest common factor (GCF) of 468 and 481 is 13.

GCF(468,481) = 13

We will now calculate the prime factors of 468 and 481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 468 and 481.

How to find the GCF of 468 and 481?

We will first find the prime factorization of 468 and 481. After we will calculate the factors of 468 and 481 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 481

Prime factors of 481 are 13, 37. Prime factorization of 481 in exponential form is:

481 = 13¹ × 37¹

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 481

List of positive integer factors of 481 that divides 468 without a remainder.

1, 13, 37

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 468 and 481. The biggest common factor number is the GCF number.
So the greatest common factor 468 and 481 is 13.

Also check out the Least Common Multiple of 468 and 481