What is the Greatest Common Factor of 467 and 480?

Greatest common factor (GCF) of 467 and 480 is 1.

GCF(467,480) = 1

We will now calculate the prime factors of 467 and 480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 467 and 480.

How to find the GCF of 467 and 480?

We will first find the prime factorization of 467 and 480. After we will calculate the factors of 467 and 480 and find the biggest common factor number .

Step-1: Prime Factorization of 467

Prime factors of 467 are 467. Prime factorization of 467 in exponential form is:

467 = 467¹

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 467

List of positive integer factors of 467 that divides 467 without a remainder.

Step-4: Factors of 480

List of positive integer factors of 480 that divides 467 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 467 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 467 and 480 is 1.

Also check out the Least Common Multiple of 467 and 480