What is the Greatest Common Factor of 77803 and 77814?

Greatest common factor (GCF) of 77803 and 77814 is 11.

GCF(77803,77814) = 11

We will now calculate the prime factors of 77803 and 77814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77803 and 77814.

How to find the GCF of 77803 and 77814?

We will first find the prime factorization of 77803 and 77814. After we will calculate the factors of 77803 and 77814 and find the biggest common factor number .

Step-1: Prime Factorization of 77803

Prime factors of 77803 are 11, 643. Prime factorization of 77803 in exponential form is:

77803 = 11² × 643¹

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 77803

List of positive integer factors of 77803 that divides 77803 without a remainder.

1, 11, 121, 643, 7073

Step-4: Factors of 77814

List of positive integer factors of 77814 that divides 77803 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 77803 and 77814. The biggest common factor number is the GCF number.
So the greatest common factor 77803 and 77814 is 11.

Also check out the Least Common Multiple of 77803 and 77814