What is the Greatest Common Factor of 77782 and 77796?

Greatest common factor (GCF) of 77782 and 77796 is 2.

GCF(77782,77796) = 2

We will now calculate the prime factors of 77782 and 77796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77782 and 77796.

How to find the GCF of 77782 and 77796?

We will first find the prime factorization of 77782 and 77796. After we will calculate the factors of 77782 and 77796 and find the biggest common factor number .

Step-1: Prime Factorization of 77782

Prime factors of 77782 are 2, 38891. Prime factorization of 77782 in exponential form is:

77782 = 2¹ × 38891¹

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 77782

List of positive integer factors of 77782 that divides 77782 without a remainder.

1, 2, 38891

Step-4: Factors of 77796

List of positive integer factors of 77796 that divides 77782 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 77782 and 77796. The biggest common factor number is the GCF number.
So the greatest common factor 77782 and 77796 is 2.

Also check out the Least Common Multiple of 77782 and 77796