What is the Greatest Common Factor of 11490 and 11499?

Greatest common factor (GCF) of 11490 and 11499 is 3.

GCF(11490,11499) = 3

We will now calculate the prime factors of 11490 and 11499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11490 and 11499.

How to find the GCF of 11490 and 11499?

We will first find the prime factorization of 11490 and 11499. After we will calculate the factors of 11490 and 11499 and find the biggest common factor number .

Step-1: Prime Factorization of 11490

Prime factors of 11490 are 2, 3, 5, 383. Prime factorization of 11490 in exponential form is:

11490 = 2¹ × 3¹ × 5¹ × 383¹

Step-2: Prime Factorization of 11499

Prime factors of 11499 are 3, 3833. Prime factorization of 11499 in exponential form is:

11499 = 3¹ × 3833¹

Step-3: Factors of 11490

List of positive integer factors of 11490 that divides 11490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 383, 766, 1149, 1915, 2298, 3830, 5745

Step-4: Factors of 11499

List of positive integer factors of 11499 that divides 11490 without a remainder.

1, 3, 3833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11490 and 11499. The biggest common factor number is the GCF number.
So the greatest common factor 11490 and 11499 is 3.

Also check out the Least Common Multiple of 11490 and 11499