What is the Greatest Common Factor of 471 and 480?

Greatest common factor (GCF) of 471 and 480 is 3.

GCF(471,480) = 3

We will now calculate the prime factors of 471 and 480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 471 and 480.

How to find the GCF of 471 and 480?

We will first find the prime factorization of 471 and 480. After we will calculate the factors of 471 and 480 and find the biggest common factor number .

Step-1: Prime Factorization of 471

Prime factors of 471 are 3, 157. Prime factorization of 471 in exponential form is:

471 = 3¹ × 157¹

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 471

List of positive integer factors of 471 that divides 471 without a remainder.

1, 3, 157

Step-4: Factors of 480

List of positive integer factors of 480 that divides 471 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 471 and 480. The biggest common factor number is the GCF number.
So the greatest common factor 471 and 480 is 3.

Also check out the Least Common Multiple of 471 and 480