What is the Greatest Common Factor of 76290 and 76295?

Greatest common factor (GCF) of 76290 and 76295 is 5.

GCF(76290,76295) = 5

We will now calculate the prime factors of 76290 and 76295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76290 and 76295.

How to find the GCF of 76290 and 76295?

We will first find the prime factorization of 76290 and 76295. After we will calculate the factors of 76290 and 76295 and find the biggest common factor number .

Step-1: Prime Factorization of 76290

Prime factors of 76290 are 2, 3, 5, 2543. Prime factorization of 76290 in exponential form is:

76290 = 2¹ × 3¹ × 5¹ × 2543¹

Step-2: Prime Factorization of 76295

Prime factors of 76295 are 5, 15259. Prime factorization of 76295 in exponential form is:

76295 = 5¹ × 15259¹

Step-3: Factors of 76290

List of positive integer factors of 76290 that divides 76290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2543, 5086, 7629, 12715, 15258, 25430, 38145

Step-4: Factors of 76295

List of positive integer factors of 76295 that divides 76290 without a remainder.

1, 5, 15259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76290 and 76295. The biggest common factor number is the GCF number.
So the greatest common factor 76290 and 76295 is 5.

Also check out the Least Common Multiple of 76290 and 76295