What is the Greatest Common Factor of 11759 and 11779?

Greatest common factor (GCF) of 11759 and 11779 is 1.

GCF(11759,11779) = 1

We will now calculate the prime factors of 11759 and 11779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11759 and 11779.

How to find the GCF of 11759 and 11779?

We will first find the prime factorization of 11759 and 11779. After we will calculate the factors of 11759 and 11779 and find the biggest common factor number .

Step-1: Prime Factorization of 11759

Prime factors of 11759 are 11, 1069. Prime factorization of 11759 in exponential form is:

11759 = 11¹ × 1069¹

Step-2: Prime Factorization of 11779

Prime factors of 11779 are 11779. Prime factorization of 11779 in exponential form is:

11779 = 11779¹

Step-3: Factors of 11759

List of positive integer factors of 11759 that divides 11759 without a remainder.

1, 11, 1069

Step-4: Factors of 11779

List of positive integer factors of 11779 that divides 11759 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11759 and 11779. The biggest common factor number is the GCF number.
So the greatest common factor 11759 and 11779 is 1.

Also check out the Least Common Multiple of 11759 and 11779