What is the Greatest Common Factor of 18759 and 18779?

Greatest common factor (GCF) of 18759 and 18779 is 1.

GCF(18759,18779) = 1

We will now calculate the prime factors of 18759 and 18779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18759 and 18779.

How to find the GCF of 18759 and 18779?

We will first find the prime factorization of 18759 and 18779. After we will calculate the factors of 18759 and 18779 and find the biggest common factor number .

Step-1: Prime Factorization of 18759

Prime factors of 18759 are 3, 13, 37. Prime factorization of 18759 in exponential form is:

18759 = 3¹ × 13² × 37¹

Step-2: Prime Factorization of 18779

Prime factors of 18779 are 89, 211. Prime factorization of 18779 in exponential form is:

18779 = 89¹ × 211¹

Step-3: Factors of 18759

List of positive integer factors of 18759 that divides 18759 without a remainder.

1, 3, 13, 37, 39, 111, 169, 481, 507, 1443, 6253

Step-4: Factors of 18779

List of positive integer factors of 18779 that divides 18759 without a remainder.

1, 89, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18759 and 18779. The biggest common factor number is the GCF number.
So the greatest common factor 18759 and 18779 is 1.

Also check out the Least Common Multiple of 18759 and 18779