What is the Greatest Common Factor of 4488 and 4499?

Greatest common factor (GCF) of 4488 and 4499 is 11.

GCF(4488,4499) = 11

We will now calculate the prime factors of 4488 and 4499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4488 and 4499.

How to find the GCF of 4488 and 4499?

We will first find the prime factorization of 4488 and 4499. After we will calculate the factors of 4488 and 4499 and find the biggest common factor number .

Step-1: Prime Factorization of 4488

Prime factors of 4488 are 2, 3, 11, 17. Prime factorization of 4488 in exponential form is:

4488 = 2³ × 3¹ × 11¹ × 17¹

Step-2: Prime Factorization of 4499

Prime factors of 4499 are 11, 409. Prime factorization of 4499 in exponential form is:

4499 = 11¹ × 409¹

Step-3: Factors of 4488

List of positive integer factors of 4488 that divides 4488 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244

Step-4: Factors of 4499

List of positive integer factors of 4499 that divides 4488 without a remainder.

1, 11, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4488 and 4499. The biggest common factor number is the GCF number.
So the greatest common factor 4488 and 4499 is 11.

Also check out the Least Common Multiple of 4488 and 4499