What is the Greatest Common Factor of 11485 and 11490?

Greatest common factor (GCF) of 11485 and 11490 is 5.

GCF(11485,11490) = 5

We will now calculate the prime factors of 11485 and 11490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11485 and 11490.

How to find the GCF of 11485 and 11490?

We will first find the prime factorization of 11485 and 11490. After we will calculate the factors of 11485 and 11490 and find the biggest common factor number .

Step-1: Prime Factorization of 11485

Prime factors of 11485 are 5, 2297. Prime factorization of 11485 in exponential form is:

11485 = 5¹ × 2297¹

Step-2: 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-3: Factors of 11485

List of positive integer factors of 11485 that divides 11485 without a remainder.

1, 5, 2297

Step-4: Factors of 11490

List of positive integer factors of 11490 that divides 11485 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11485 and 11490. The biggest common factor number is the GCF number.
So the greatest common factor 11485 and 11490 is 5.

Also check out the Least Common Multiple of 11485 and 11490