What is the Greatest Common Factor of 4480 and 4490?

Greatest common factor (GCF) of 4480 and 4490 is 10.

GCF(4480,4490) = 10

We will now calculate the prime factors of 4480 and 4490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4480 and 4490.

How to find the GCF of 4480 and 4490?

We will first find the prime factorization of 4480 and 4490. After we will calculate the factors of 4480 and 4490 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4490

Prime factors of 4490 are 2, 5, 449. Prime factorization of 4490 in exponential form is:

4490 = 2¹ × 5¹ × 449¹

Step-3: Factors of 4480

List of positive integer factors of 4480 that divides 4480 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

Step-4: Factors of 4490

List of positive integer factors of 4490 that divides 4480 without a remainder.

1, 2, 5, 10, 449, 898, 2245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4480 and 4490. The biggest common factor number is the GCF number.
So the greatest common factor 4480 and 4490 is 10.

Also check out the Least Common Multiple of 4480 and 4490