What is the Greatest Common Factor of 80325 and 80342?

Greatest common factor (GCF) of 80325 and 80342 is 17.

GCF(80325,80342) = 17

We will now calculate the prime factors of 80325 and 80342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80325 and 80342.

How to find the GCF of 80325 and 80342?

We will first find the prime factorization of 80325 and 80342. After we will calculate the factors of 80325 and 80342 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 80342

Prime factors of 80342 are 2, 17, 139. Prime factorization of 80342 in exponential form is:

80342 = 2¹ × 17² × 139¹

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 80342

List of positive integer factors of 80342 that divides 80325 without a remainder.

1, 2, 17, 34, 139, 278, 289, 578, 2363, 4726, 40171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80325 and 80342. The biggest common factor number is the GCF number.
So the greatest common factor 80325 and 80342 is 17.

Also check out the Least Common Multiple of 80325 and 80342