What is the Greatest Common Factor of 473 and 480?

Greatest common factor (GCF) of 473 and 480 is 1.

GCF(473,480) = 1

We will now calculate the prime factors of 473 and 480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 473 and 480.

How to find the GCF of 473 and 480?

We will first find the prime factorization of 473 and 480. After we will calculate the factors of 473 and 480 and find the biggest common factor number .

Step-1: Prime Factorization of 473

Prime factors of 473 are 11, 43. Prime factorization of 473 in exponential form is:

473 = 11¹ × 43¹

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 473

List of positive integer factors of 473 that divides 473 without a remainder.

1, 11, 43

Step-4: Factors of 480

List of positive integer factors of 480 that divides 473 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 473 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 473 and 480 is 1.

Also check out the Least Common Multiple of 473 and 480