What is the Greatest Common Factor of 4480 and 4496?

Greatest common factor (GCF) of 4480 and 4496 is 16.

GCF(4480,4496) = 16

We will now calculate the prime factors of 4480 and 4496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4480 and 4496.

How to find the GCF of 4480 and 4496?

We will first find the prime factorization of 4480 and 4496. After we will calculate the factors of 4480 and 4496 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 4496

Prime factors of 4496 are 2, 281. Prime factorization of 4496 in exponential form is:

4496 = 2⁴ × 281¹

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 4496

List of positive integer factors of 4496 that divides 4480 without a remainder.

1, 2, 4, 8, 16, 281, 562, 1124, 2248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4480 and 4496. The biggest common factor number is the GCF number.
So the greatest common factor 4480 and 4496 is 16.

Also check out the Least Common Multiple of 4480 and 4496