What is the Greatest Common Factor of 4470 and 4480?

Greatest common factor (GCF) of 4470 and 4480 is 10.

GCF(4470,4480) = 10

We will now calculate the prime factors of 4470 and 4480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4470 and 4480.

How to find the GCF of 4470 and 4480?

We will first find the prime factorization of 4470 and 4480. After we will calculate the factors of 4470 and 4480 and find the biggest common factor number .

Step-1: Prime Factorization of 4470

Prime factors of 4470 are 2, 3, 5, 149. Prime factorization of 4470 in exponential form is:

4470 = 2¹ × 3¹ × 5¹ × 149¹

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 4470

List of positive integer factors of 4470 that divides 4470 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235

Step-4: Factors of 4480

List of positive integer factors of 4480 that divides 4470 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 4470 and 4480. The biggest common factor number is the GCF number.
So the greatest common factor 4470 and 4480 is 10.

Also check out the Least Common Multiple of 4470 and 4480