What is the Greatest Common Factor of 463 and 480?

Greatest common factor (GCF) of 463 and 480 is 1.

GCF(463,480) = 1

We will now calculate the prime factors of 463 and 480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 463 and 480.

How to find the GCF of 463 and 480?

We will first find the prime factorization of 463 and 480. After we will calculate the factors of 463 and 480 and find the biggest common factor number .

Step-1: Prime Factorization of 463

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 463¹

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 463

List of positive integer factors of 463 that divides 463 without a remainder.

Step-4: Factors of 480

List of positive integer factors of 480 that divides 463 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 463 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 463 and 480 is 1.

Also check out the Least Common Multiple of 463 and 480