What is the Greatest Common Factor of 76308 and 76323?

Greatest common factor (GCF) of 76308 and 76323 is 3.

GCF(76308,76323) = 3

We will now calculate the prime factors of 76308 and 76323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76308 and 76323.

How to find the GCF of 76308 and 76323?

We will first find the prime factorization of 76308 and 76323. After we will calculate the factors of 76308 and 76323 and find the biggest common factor number .

Step-1: Prime Factorization of 76308

Prime factors of 76308 are 2, 3, 6359. Prime factorization of 76308 in exponential form is:

76308 = 2² × 3¹ × 6359¹

Step-2: 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-3: Factors of 76308

List of positive integer factors of 76308 that divides 76308 without a remainder.

1, 2, 3, 4, 6, 12, 6359, 12718, 19077, 25436, 38154

Step-4: Factors of 76323

List of positive integer factors of 76323 that divides 76308 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76308 and 76323. The biggest common factor number is the GCF number.
So the greatest common factor 76308 and 76323 is 3.

Also check out the Least Common Multiple of 76308 and 76323