What is the Greatest Common Factor of 76797 and 76806?

Greatest common factor (GCF) of 76797 and 76806 is 9.

GCF(76797,76806) = 9

We will now calculate the prime factors of 76797 and 76806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76797 and 76806.

How to find the GCF of 76797 and 76806?

We will first find the prime factorization of 76797 and 76806. After we will calculate the factors of 76797 and 76806 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76806

Prime factors of 76806 are 2, 3, 17, 251. Prime factorization of 76806 in exponential form is:

76806 = 2¹ × 3² × 17¹ × 251¹

Step-3: Factors of 76797

List of positive integer factors of 76797 that divides 76797 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

Step-4: Factors of 76806

List of positive integer factors of 76806 that divides 76797 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 251, 306, 502, 753, 1506, 2259, 4267, 4518, 8534, 12801, 25602, 38403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76797 and 76806. The biggest common factor number is the GCF number.
So the greatest common factor 76797 and 76806 is 9.

Also check out the Least Common Multiple of 76797 and 76806