What is the Greatest Common Factor of 77759 and 77779?

Greatest common factor (GCF) of 77759 and 77779 is 1.

GCF(77759,77779) = 1

We will now calculate the prime factors of 77759 and 77779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77759 and 77779.

How to find the GCF of 77759 and 77779?

We will first find the prime factorization of 77759 and 77779. After we will calculate the factors of 77759 and 77779 and find the biggest common factor number .

Step-1: Prime Factorization of 77759

Prime factors of 77759 are 11, 7069. Prime factorization of 77759 in exponential form is:

77759 = 11¹ × 7069¹

Step-2: Prime Factorization of 77779

Prime factors of 77779 are 13, 31, 193. Prime factorization of 77779 in exponential form is:

77779 = 13¹ × 31¹ × 193¹

Step-3: Factors of 77759

List of positive integer factors of 77759 that divides 77759 without a remainder.

1, 11, 7069

Step-4: Factors of 77779

List of positive integer factors of 77779 that divides 77759 without a remainder.

1, 13, 31, 193, 403, 2509, 5983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77759 and 77779. The biggest common factor number is the GCF number.
So the greatest common factor 77759 and 77779 is 1.

Also check out the Least Common Multiple of 77759 and 77779