What is the Greatest Common Factor of 477 and 492?

Greatest common factor (GCF) of 477 and 492 is 3.

GCF(477,492) = 3

We will now calculate the prime factors of 477 and 492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 477 and 492.

How to find the GCF of 477 and 492?

We will first find the prime factorization of 477 and 492. After we will calculate the factors of 477 and 492 and find the biggest common factor number .

Step-1: Prime Factorization of 477

Prime factors of 477 are 3, 53. Prime factorization of 477 in exponential form is:

477 = 3² × 53¹

Step-2: Prime Factorization of 492

Prime factors of 492 are 2, 3, 41. Prime factorization of 492 in exponential form is:

492 = 2² × 3¹ × 41¹

Step-3: Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159

Step-4: Factors of 492

List of positive integer factors of 492 that divides 477 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 477 and 492. The biggest common factor number is the GCF number.
So the greatest common factor 477 and 492 is 3.

Also check out the Least Common Multiple of 477 and 492