What is the Greatest Common Factor of 11586 and 11604?

Greatest common factor (GCF) of 11586 and 11604 is 6.

GCF(11586,11604) = 6

We will now calculate the prime factors of 11586 and 11604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11586 and 11604.

How to find the GCF of 11586 and 11604?

We will first find the prime factorization of 11586 and 11604. After we will calculate the factors of 11586 and 11604 and find the biggest common factor number .

Step-1: Prime Factorization of 11586

Prime factors of 11586 are 2, 3, 1931. Prime factorization of 11586 in exponential form is:

11586 = 2¹ × 3¹ × 1931¹

Step-2: Prime Factorization of 11604

Prime factors of 11604 are 2, 3, 967. Prime factorization of 11604 in exponential form is:

11604 = 2² × 3¹ × 967¹

Step-3: Factors of 11586

List of positive integer factors of 11586 that divides 11586 without a remainder.

1, 2, 3, 6, 1931, 3862, 5793

Step-4: Factors of 11604

List of positive integer factors of 11604 that divides 11586 without a remainder.

1, 2, 3, 4, 6, 12, 967, 1934, 2901, 3868, 5802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11586 and 11604. The biggest common factor number is the GCF number.
So the greatest common factor 11586 and 11604 is 6.

Also check out the Least Common Multiple of 11586 and 11604