What is the Greatest Common Factor of 11985 and 11993?

Greatest common factor (GCF) of 11985 and 11993 is 1.

GCF(11985,11993) = 1

We will now calculate the prime factors of 11985 and 11993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11985 and 11993.

How to find the GCF of 11985 and 11993?

We will first find the prime factorization of 11985 and 11993. After we will calculate the factors of 11985 and 11993 and find the biggest common factor number .

Step-1: Prime Factorization of 11985

Prime factors of 11985 are 3, 5, 17, 47. Prime factorization of 11985 in exponential form is:

11985 = 3¹ × 5¹ × 17¹ × 47¹

Step-2: Prime Factorization of 11993

Prime factors of 11993 are 67, 179. Prime factorization of 11993 in exponential form is:

11993 = 67¹ × 179¹

Step-3: Factors of 11985

List of positive integer factors of 11985 that divides 11985 without a remainder.

1, 3, 5, 15, 17, 47, 51, 85, 141, 235, 255, 705, 799, 2397, 3995

Step-4: Factors of 11993

List of positive integer factors of 11993 that divides 11985 without a remainder.

1, 67, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11985 and 11993. The biggest common factor number is the GCF number.
So the greatest common factor 11985 and 11993 is 1.

Also check out the Least Common Multiple of 11985 and 11993