What is the Greatest Common Factor of 480 and 492?

Greatest common factor (GCF) of 480 and 492 is 12.

GCF(480,492) = 12

We will now calculate the prime factors of 480 and 492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 480 and 492.

How to find the GCF of 480 and 492?

We will first find the prime factorization of 480 and 492. After we will calculate the factors of 480 and 492 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 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 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 492

List of positive integer factors of 492 that divides 480 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 480 and 492. The biggest common factor number is the GCF number.
So the greatest common factor 480 and 492 is 12.

Also check out the Least Common Multiple of 480 and 492