What is the Greatest Common Factor of 76791 and 76797?

Greatest common factor (GCF) of 76791 and 76797 is 3.

GCF(76791,76797) = 3

We will now calculate the prime factors of 76791 and 76797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76791 and 76797.

How to find the GCF of 76791 and 76797?

We will first find the prime factorization of 76791 and 76797. After we will calculate the factors of 76791 and 76797 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76797

Prime factors of 76797 are 3, 7, 23, 53. Prime factorization of 76797 in exponential form is:

76797 = 3² × 7¹ × 23¹ × 53¹

Step-3: Factors of 76791

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

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

Step-4: Factors of 76797

List of positive integer factors of 76797 that divides 76791 without a remainder.

1, 3, 7, 9, 21, 23, 53, 63, 69, 159, 161, 207, 371, 477, 483, 1113, 1219, 1449, 3339, 3657, 8533, 10971, 25599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76791 and 76797. The biggest common factor number is the GCF number.
So the greatest common factor 76791 and 76797 is 3.

Also check out the Least Common Multiple of 76791 and 76797