What is the Greatest Common Factor of 4475 and 4480?

Greatest common factor (GCF) of 4475 and 4480 is 5.

GCF(4475,4480) = 5

We will now calculate the prime factors of 4475 and 4480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4475 and 4480.

How to find the GCF of 4475 and 4480?

We will first find the prime factorization of 4475 and 4480. After we will calculate the factors of 4475 and 4480 and find the biggest common factor number .

Step-1: Prime Factorization of 4475

Prime factors of 4475 are 5, 179. Prime factorization of 4475 in exponential form is:

4475 = 5² × 179¹

Step-2: Prime Factorization of 4480

Prime factors of 4480 are 2, 5, 7. Prime factorization of 4480 in exponential form is:

4480 = 2⁷ × 5¹ × 7¹

Step-3: Factors of 4475

List of positive integer factors of 4475 that divides 4475 without a remainder.

1, 5, 25, 179, 895

Step-4: Factors of 4480

List of positive integer factors of 4480 that divides 4475 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4475 and 4480. The biggest common factor number is the GCF number.
So the greatest common factor 4475 and 4480 is 5.

Also check out the Least Common Multiple of 4475 and 4480