What is the Greatest Common Factor of 466 and 480?

Greatest common factor (GCF) of 466 and 480 is 2.

GCF(466,480) = 2

We will now calculate the prime factors of 466 and 480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 466 and 480.

How to find the GCF of 466 and 480?

We will first find the prime factorization of 466 and 480. After we will calculate the factors of 466 and 480 and find the biggest common factor number .

Step-1: Prime Factorization of 466

Prime factors of 466 are 2, 233. Prime factorization of 466 in exponential form is:

466 = 2¹ × 233¹

Step-2: 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-3: Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1, 2, 233

Step-4: Factors of 480

List of positive integer factors of 480 that divides 466 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 466 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 466 and 480 is 2.

Also check out the Least Common Multiple of 466 and 480