What is the Greatest Common Factor of 76779 and 76797?

Greatest common factor (GCF) of 76779 and 76797 is 9.

GCF(76779,76797) = 9

We will now calculate the prime factors of 76779 and 76797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76779 and 76797.

How to find the GCF of 76779 and 76797?

We will first find the prime factorization of 76779 and 76797. After we will calculate the factors of 76779 and 76797 and find the biggest common factor number .

Step-1: Prime Factorization of 76779

Prime factors of 76779 are 3, 19, 449. Prime factorization of 76779 in exponential form is:

76779 = 3² × 19¹ × 449¹

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 76779

List of positive integer factors of 76779 that divides 76779 without a remainder.

1, 3, 9, 19, 57, 171, 449, 1347, 4041, 8531, 25593

Step-4: Factors of 76797

List of positive integer factors of 76797 that divides 76779 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 76779 and 76797. The biggest common factor number is the GCF number.
So the greatest common factor 76779 and 76797 is 9.

Also check out the Least Common Multiple of 76779 and 76797