What is the Greatest Common Factor of 11991 and 12007?

Greatest common factor (GCF) of 11991 and 12007 is 1.

GCF(11991,12007) = 1

We will now calculate the prime factors of 11991 and 12007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11991 and 12007.

How to find the GCF of 11991 and 12007?

We will first find the prime factorization of 11991 and 12007. After we will calculate the factors of 11991 and 12007 and find the biggest common factor number .

Step-1: Prime Factorization of 11991

Prime factors of 11991 are 3, 7, 571. Prime factorization of 11991 in exponential form is:

11991 = 3¹ × 7¹ × 571¹

Step-2: Prime Factorization of 12007

Prime factors of 12007 are 12007. Prime factorization of 12007 in exponential form is:

12007 = 12007¹

Step-3: Factors of 11991

List of positive integer factors of 11991 that divides 11991 without a remainder.

1, 3, 7, 21, 571, 1713, 3997

Step-4: Factors of 12007

List of positive integer factors of 12007 that divides 11991 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11991 and 12007. The biggest common factor number is the GCF number.
So the greatest common factor 11991 and 12007 is 1.

Also check out the Least Common Multiple of 11991 and 12007