What is the Greatest Common Factor of 76787 and 76791?

Greatest common factor (GCF) of 76787 and 76791 is 1.

GCF(76787,76791) = 1

We will now calculate the prime factors of 76787 and 76791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76787 and 76791.

How to find the GCF of 76787 and 76791?

We will first find the prime factorization of 76787 and 76791. After we will calculate the factors of 76787 and 76791 and find the biggest common factor number .

Step-1: Prime Factorization of 76787

Prime factors of 76787 are 31, 2477. Prime factorization of 76787 in exponential form is:

76787 = 31¹ × 2477¹

Step-2: Prime Factorization of 76791

Prime factors of 76791 are 3, 11, 13, 179. Prime factorization of 76791 in exponential form is:

76791 = 3¹ × 11¹ × 13¹ × 179¹

Step-3: Factors of 76787

List of positive integer factors of 76787 that divides 76787 without a remainder.

1, 31, 2477

Step-4: Factors of 76791

List of positive integer factors of 76791 that divides 76787 without a remainder.

1, 3, 11, 13, 33, 39, 143, 179, 429, 537, 1969, 2327, 5907, 6981, 25597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76787 and 76791. The biggest common factor number is the GCF number.
So the greatest common factor 76787 and 76791 is 1.

Also check out the Least Common Multiple of 76787 and 76791