What is the Greatest Common Factor of 76305 and 76324?

Greatest common factor (GCF) of 76305 and 76324 is 1.

GCF(76305,76324) = 1

We will now calculate the prime factors of 76305 and 76324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76305 and 76324.

How to find the GCF of 76305 and 76324?

We will first find the prime factorization of 76305 and 76324. After we will calculate the factors of 76305 and 76324 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76324

Prime factors of 76324 are 2, 19081. Prime factorization of 76324 in exponential form is:

76324 = 2² × 19081¹

Step-3: Factors of 76305

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

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

Step-4: Factors of 76324

List of positive integer factors of 76324 that divides 76305 without a remainder.

1, 2, 4, 19081, 38162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76305 and 76324. The biggest common factor number is the GCF number.
So the greatest common factor 76305 and 76324 is 1.

Also check out the Least Common Multiple of 76305 and 76324