What is the Greatest Common Factor of 77778 and 77791?

Greatest common factor (GCF) of 77778 and 77791 is 1.

GCF(77778,77791) = 1

We will now calculate the prime factors of 77778 and 77791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77778 and 77791.

How to find the GCF of 77778 and 77791?

We will first find the prime factorization of 77778 and 77791. After we will calculate the factors of 77778 and 77791 and find the biggest common factor number .

Step-1: Prime Factorization of 77778

Prime factors of 77778 are 2, 3, 29, 149. Prime factorization of 77778 in exponential form is:

77778 = 2¹ × 3² × 29¹ × 149¹

Step-2: Prime Factorization of 77791

Prime factors of 77791 are 7, 11113. Prime factorization of 77791 in exponential form is:

77791 = 7¹ × 11113¹

Step-3: Factors of 77778

List of positive integer factors of 77778 that divides 77778 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 149, 174, 261, 298, 447, 522, 894, 1341, 2682, 4321, 8642, 12963, 25926, 38889

Step-4: Factors of 77791

List of positive integer factors of 77791 that divides 77778 without a remainder.

1, 7, 11113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77778 and 77791. The biggest common factor number is the GCF number.
So the greatest common factor 77778 and 77791 is 1.

Also check out the Least Common Multiple of 77778 and 77791