What is the Greatest Common Factor of 76323 and 76329?

Greatest common factor (GCF) of 76323 and 76329 is 3.

GCF(76323,76329) = 3

We will now calculate the prime factors of 76323 and 76329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76323 and 76329.

How to find the GCF of 76323 and 76329?

We will first find the prime factorization of 76323 and 76329. After we will calculate the factors of 76323 and 76329 and find the biggest common factor number .

Step-1: Prime Factorization of 76323

Prime factors of 76323 are 3, 13, 19, 103. Prime factorization of 76323 in exponential form is:

76323 = 3¹ × 13¹ × 19¹ × 103¹

Step-2: Prime Factorization of 76329

Prime factors of 76329 are 3, 11, 257. Prime factorization of 76329 in exponential form is:

76329 = 3³ × 11¹ × 257¹

Step-3: Factors of 76323

List of positive integer factors of 76323 that divides 76323 without a remainder.

1, 3, 13, 19, 39, 57, 103, 247, 309, 741, 1339, 1957, 4017, 5871, 25441

Step-4: Factors of 76329

List of positive integer factors of 76329 that divides 76323 without a remainder.

1, 3, 9, 11, 27, 33, 99, 257, 297, 771, 2313, 2827, 6939, 8481, 25443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76323 and 76329. The biggest common factor number is the GCF number.
So the greatest common factor 76323 and 76329 is 3.

Also check out the Least Common Multiple of 76323 and 76329