What is the Greatest Common Factor of 77751 and 77766?

Greatest common factor (GCF) of 77751 and 77766 is 3.

GCF(77751,77766) = 3

We will now calculate the prime factors of 77751 and 77766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77751 and 77766.

How to find the GCF of 77751 and 77766?

We will first find the prime factorization of 77751 and 77766. After we will calculate the factors of 77751 and 77766 and find the biggest common factor number .

Step-1: Prime Factorization of 77751

Prime factors of 77751 are 3, 53, 163. Prime factorization of 77751 in exponential form is:

77751 = 3² × 53¹ × 163¹

Step-2: Prime Factorization of 77766

Prime factors of 77766 are 2, 3, 13, 997. Prime factorization of 77766 in exponential form is:

77766 = 2¹ × 3¹ × 13¹ × 997¹

Step-3: Factors of 77751

List of positive integer factors of 77751 that divides 77751 without a remainder.

1, 3, 9, 53, 159, 163, 477, 489, 1467, 8639, 25917

Step-4: Factors of 77766

List of positive integer factors of 77766 that divides 77751 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 997, 1994, 2991, 5982, 12961, 25922, 38883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77751 and 77766. The biggest common factor number is the GCF number.
So the greatest common factor 77751 and 77766 is 3.

Also check out the Least Common Multiple of 77751 and 77766