What is the Greatest Common Factor of 77796 and 77814?

Greatest common factor (GCF) of 77796 and 77814 is 18.

GCF(77796,77814) = 18

We will now calculate the prime factors of 77796 and 77814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77796 and 77814.

How to find the GCF of 77796 and 77814?

We will first find the prime factorization of 77796 and 77814. After we will calculate the factors of 77796 and 77814 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77814

Prime factors of 77814 are 2, 3, 11, 131. Prime factorization of 77814 in exponential form is:

77814 = 2¹ × 3³ × 11¹ × 131¹

Step-3: Factors of 77796

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

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

Step-4: Factors of 77814

List of positive integer factors of 77814 that divides 77796 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 131, 198, 262, 297, 393, 594, 786, 1179, 1441, 2358, 2882, 3537, 4323, 7074, 8646, 12969, 25938, 38907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77796 and 77814. The biggest common factor number is the GCF number.
So the greatest common factor 77796 and 77814 is 18.

Also check out the Least Common Multiple of 77796 and 77814