What is the Greatest Common Factor of 68305 and 68325?

Greatest common factor (GCF) of 68305 and 68325 is 5.

GCF(68305,68325) = 5

We will now calculate the prime factors of 68305 and 68325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68305 and 68325.

How to find the GCF of 68305 and 68325?

We will first find the prime factorization of 68305 and 68325. After we will calculate the factors of 68305 and 68325 and find the biggest common factor number .

Step-1: Prime Factorization of 68305

Prime factors of 68305 are 5, 19, 719. Prime factorization of 68305 in exponential form is:

68305 = 5¹ × 19¹ × 719¹

Step-2: Prime Factorization of 68325

Prime factors of 68325 are 3, 5, 911. Prime factorization of 68325 in exponential form is:

68325 = 3¹ × 5² × 911¹

Step-3: Factors of 68305

List of positive integer factors of 68305 that divides 68305 without a remainder.

1, 5, 19, 95, 719, 3595, 13661

Step-4: Factors of 68325

List of positive integer factors of 68325 that divides 68305 without a remainder.

1, 3, 5, 15, 25, 75, 911, 2733, 4555, 13665, 22775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68305 and 68325. The biggest common factor number is the GCF number.
So the greatest common factor 68305 and 68325 is 5.

Also check out the Least Common Multiple of 68305 and 68325