What is the Greatest Common Factor of 4480 and 4498?

Greatest common factor (GCF) of 4480 and 4498 is 2.

GCF(4480,4498) = 2

We will now calculate the prime factors of 4480 and 4498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4480 and 4498.

How to find the GCF of 4480 and 4498?

We will first find the prime factorization of 4480 and 4498. After we will calculate the factors of 4480 and 4498 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 4498

Prime factors of 4498 are 2, 13, 173. Prime factorization of 4498 in exponential form is:

4498 = 2¹ × 13¹ × 173¹

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 4498

List of positive integer factors of 4498 that divides 4480 without a remainder.

1, 2, 13, 26, 173, 346, 2249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4480 and 4498. The biggest common factor number is the GCF number.
So the greatest common factor 4480 and 4498 is 2.

Also check out the Least Common Multiple of 4480 and 4498