What is the Greatest Common Factor of 77766 and 77779?

Greatest common factor (GCF) of 77766 and 77779 is 13.

GCF(77766,77779) = 13

We will now calculate the prime factors of 77766 and 77779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77766 and 77779.

How to find the GCF of 77766 and 77779?

We will first find the prime factorization of 77766 and 77779. After we will calculate the factors of 77766 and 77779 and find the biggest common factor number .

Step-1: Prime Factorization of 77766

Prime factors of 77766 are 2, 3, 13, 997. Prime factorization of 77766 in exponential form is:

77766 = 2¹ × 3¹ × 13¹ × 997¹

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 77766

List of positive integer factors of 77766 that divides 77766 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 997, 1994, 2991, 5982, 12961, 25922, 38883

Step-4: Factors of 77779

List of positive integer factors of 77779 that divides 77766 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77766 and 77779. The biggest common factor number is the GCF number.
So the greatest common factor 77766 and 77779 is 13.

Also check out the Least Common Multiple of 77766 and 77779