What is the Greatest Common Factor of 11660 and 11675?

Greatest common factor (GCF) of 11660 and 11675 is 5.

GCF(11660,11675) = 5

We will now calculate the prime factors of 11660 and 11675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11660 and 11675.

How to find the GCF of 11660 and 11675?

We will first find the prime factorization of 11660 and 11675. After we will calculate the factors of 11660 and 11675 and find the biggest common factor number .

Step-1: Prime Factorization of 11660

Prime factors of 11660 are 2, 5, 11, 53. Prime factorization of 11660 in exponential form is:

11660 = 2² × 5¹ × 11¹ × 53¹

Step-2: Prime Factorization of 11675

Prime factors of 11675 are 5, 467. Prime factorization of 11675 in exponential form is:

11675 = 5² × 467¹

Step-3: Factors of 11660

List of positive integer factors of 11660 that divides 11660 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 53, 55, 106, 110, 212, 220, 265, 530, 583, 1060, 1166, 2332, 2915, 5830

Step-4: Factors of 11675

List of positive integer factors of 11675 that divides 11660 without a remainder.

1, 5, 25, 467, 2335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11660 and 11675. The biggest common factor number is the GCF number.
So the greatest common factor 11660 and 11675 is 5.

Also check out the Least Common Multiple of 11660 and 11675