What is the Greatest Common Factor of 76323 and 76342?

Greatest common factor (GCF) of 76323 and 76342 is 19.

GCF(76323,76342) = 19

We will now calculate the prime factors of 76323 and 76342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76323 and 76342.

How to find the GCF of 76323 and 76342?

We will first find the prime factorization of 76323 and 76342. After we will calculate the factors of 76323 and 76342 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 76342

Prime factors of 76342 are 2, 7, 19, 41. Prime factorization of 76342 in exponential form is:

76342 = 2¹ × 7² × 19¹ × 41¹

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 76342

List of positive integer factors of 76342 that divides 76323 without a remainder.

1, 2, 7, 14, 19, 38, 41, 49, 82, 98, 133, 266, 287, 574, 779, 931, 1558, 1862, 2009, 4018, 5453, 10906, 38171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76323 and 76342. The biggest common factor number is the GCF number.
So the greatest common factor 76323 and 76342 is 19.

Also check out the Least Common Multiple of 76323 and 76342