What is the Greatest Common Factor of 8759 and 8779?

Greatest common factor (GCF) of 8759 and 8779 is 1.

GCF(8759,8779) = 1

We will now calculate the prime factors of 8759 and 8779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8759 and 8779.

How to find the GCF of 8759 and 8779?

We will first find the prime factorization of 8759 and 8779. After we will calculate the factors of 8759 and 8779 and find the biggest common factor number .

Step-1: Prime Factorization of 8759

Prime factors of 8759 are 19, 461. Prime factorization of 8759 in exponential form is:

8759 = 19¹ × 461¹

Step-2: Prime Factorization of 8779

Prime factors of 8779 are 8779. Prime factorization of 8779 in exponential form is:

8779 = 8779¹

Step-3: Factors of 8759

List of positive integer factors of 8759 that divides 8759 without a remainder.

1, 19, 461

Step-4: Factors of 8779

List of positive integer factors of 8779 that divides 8759 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8759 and 8779. The biggest common factor number is the GCF number.
So the greatest common factor 8759 and 8779 is 1.

Also check out the Least Common Multiple of 8759 and 8779