What is the Greatest Common Factor of 68313 and 68325?

Greatest common factor (GCF) of 68313 and 68325 is 3.

GCF(68313,68325) = 3

We will now calculate the prime factors of 68313 and 68325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68313 and 68325.

How to find the GCF of 68313 and 68325?

We will first find the prime factorization of 68313 and 68325. After we will calculate the factors of 68313 and 68325 and find the biggest common factor number .

Step-1: Prime Factorization of 68313

Prime factors of 68313 are 3, 7, 3253. Prime factorization of 68313 in exponential form is:

68313 = 3¹ × 7¹ × 3253¹

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 68313

List of positive integer factors of 68313 that divides 68313 without a remainder.

1, 3, 7, 21, 3253, 9759, 22771

Step-4: Factors of 68325

List of positive integer factors of 68325 that divides 68313 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 68313 and 68325. The biggest common factor number is the GCF number.
So the greatest common factor 68313 and 68325 is 3.

Also check out the Least Common Multiple of 68313 and 68325