What is the Greatest Common Factor of 76293 and 76305?

Greatest common factor (GCF) of 76293 and 76305 is 3.

GCF(76293,76305) = 3

We will now calculate the prime factors of 76293 and 76305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76293 and 76305.

How to find the GCF of 76293 and 76305?

We will first find the prime factorization of 76293 and 76305. After we will calculate the factors of 76293 and 76305 and find the biggest common factor number .

Step-1: Prime Factorization of 76293

Prime factors of 76293 are 3, 7, 173. Prime factorization of 76293 in exponential form is:

76293 = 3² × 7² × 173¹

Step-2: Prime Factorization of 76305

Prime factors of 76305 are 3, 5, 5087. Prime factorization of 76305 in exponential form is:

76305 = 3¹ × 5¹ × 5087¹

Step-3: Factors of 76293

List of positive integer factors of 76293 that divides 76293 without a remainder.

1, 3, 7, 9, 21, 49, 63, 147, 173, 441, 519, 1211, 1557, 3633, 8477, 10899, 25431

Step-4: Factors of 76305

List of positive integer factors of 76305 that divides 76293 without a remainder.

1, 3, 5, 15, 5087, 15261, 25435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76293 and 76305. The biggest common factor number is the GCF number.
So the greatest common factor 76293 and 76305 is 3.

Also check out the Least Common Multiple of 76293 and 76305