What is the Greatest Common Factor of 76797 and 76804?

Greatest common factor (GCF) of 76797 and 76804 is 7.

GCF(76797,76804) = 7

We will now calculate the prime factors of 76797 and 76804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76797 and 76804.

How to find the GCF of 76797 and 76804?

We will first find the prime factorization of 76797 and 76804. After we will calculate the factors of 76797 and 76804 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 76804

Prime factors of 76804 are 2, 7, 13, 211. Prime factorization of 76804 in exponential form is:

76804 = 2² × 7¹ × 13¹ × 211¹

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 76804

List of positive integer factors of 76804 that divides 76797 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 211, 364, 422, 844, 1477, 2743, 2954, 5486, 5908, 10972, 19201, 38402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76797 and 76804. The biggest common factor number is the GCF number.
So the greatest common factor 76797 and 76804 is 7.

Also check out the Least Common Multiple of 76797 and 76804