What is the Greatest Common Factor of 76299 and 76305?

Greatest common factor (GCF) of 76299 and 76305 is 3.

GCF(76299,76305) = 3

We will now calculate the prime factors of 76299 and 76305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76299 and 76305.

How to find the GCF of 76299 and 76305?

We will first find the prime factorization of 76299 and 76305. After we will calculate the factors of 76299 and 76305 and find the biggest common factor number .

Step-1: Prime Factorization of 76299

Prime factors of 76299 are 3, 29, 877. Prime factorization of 76299 in exponential form is:

76299 = 3¹ × 29¹ × 877¹

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 76299

List of positive integer factors of 76299 that divides 76299 without a remainder.

1, 3, 29, 87, 877, 2631, 25433

Step-4: Factors of 76305

List of positive integer factors of 76305 that divides 76299 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76299 and 76305. The biggest common factor number is the GCF number.
So the greatest common factor 76299 and 76305 is 3.

Also check out the Least Common Multiple of 76299 and 76305