What is the Greatest Common Factor of 77785 and 77796?

Greatest common factor (GCF) of 77785 and 77796 is 1.

GCF(77785,77796) = 1

We will now calculate the prime factors of 77785 and 77796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77785 and 77796.

How to find the GCF of 77785 and 77796?

We will first find the prime factorization of 77785 and 77796. After we will calculate the factors of 77785 and 77796 and find the biggest common factor number .

Step-1: Prime Factorization of 77785

Prime factors of 77785 are 5, 47, 331. Prime factorization of 77785 in exponential form is:

77785 = 5¹ × 47¹ × 331¹

Step-2: Prime Factorization of 77796

Prime factors of 77796 are 2, 3, 2161. Prime factorization of 77796 in exponential form is:

77796 = 2² × 3² × 2161¹

Step-3: Factors of 77785

List of positive integer factors of 77785 that divides 77785 without a remainder.

1, 5, 47, 235, 331, 1655, 15557

Step-4: Factors of 77796

List of positive integer factors of 77796 that divides 77785 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2161, 4322, 6483, 8644, 12966, 19449, 25932, 38898

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77785 and 77796. The biggest common factor number is the GCF number.
So the greatest common factor 77785 and 77796 is 1.

Also check out the Least Common Multiple of 77785 and 77796