What is the Greatest Common Factor of 80325 and 80345?

Greatest common factor (GCF) of 80325 and 80345 is 5.

GCF(80325,80345) = 5

We will now calculate the prime factors of 80325 and 80345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80325 and 80345.

How to find the GCF of 80325 and 80345?

We will first find the prime factorization of 80325 and 80345. After we will calculate the factors of 80325 and 80345 and find the biggest common factor number .

Step-1: Prime Factorization of 80325

Prime factors of 80325 are 3, 5, 7, 17. Prime factorization of 80325 in exponential form is:

80325 = 3³ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 80345

Prime factors of 80345 are 5, 16069. Prime factorization of 80345 in exponential form is:

80345 = 5¹ × 16069¹

Step-3: Factors of 80325

List of positive integer factors of 80325 that divides 80325 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 25, 27, 35, 45, 51, 63, 75, 85, 105, 119, 135, 153, 175, 189, 225, 255, 315, 357, 425, 459, 525, 595, 675, 765, 945, 1071, 1275, 1575, 1785, 2295, 2975, 3213, 3825, 4725, 5355, 8925, 11475, 16065, 26775

Step-4: Factors of 80345

List of positive integer factors of 80345 that divides 80325 without a remainder.

1, 5, 16069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80325 and 80345. The biggest common factor number is the GCF number.
So the greatest common factor 80325 and 80345 is 5.

Also check out the Least Common Multiple of 80325 and 80345