What is the Greatest Common Factor of 68275 and 68290?

Greatest common factor (GCF) of 68275 and 68290 is 5.

GCF(68275,68290) = 5

We will now calculate the prime factors of 68275 and 68290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68275 and 68290.

How to find the GCF of 68275 and 68290?

We will first find the prime factorization of 68275 and 68290. After we will calculate the factors of 68275 and 68290 and find the biggest common factor number .

Step-1: Prime Factorization of 68275

Prime factors of 68275 are 5, 2731. Prime factorization of 68275 in exponential form is:

68275 = 5² × 2731¹

Step-2: Prime Factorization of 68290

Prime factors of 68290 are 2, 5, 6829. Prime factorization of 68290 in exponential form is:

68290 = 2¹ × 5¹ × 6829¹

Step-3: Factors of 68275

List of positive integer factors of 68275 that divides 68275 without a remainder.

1, 5, 25, 2731, 13655

Step-4: Factors of 68290

List of positive integer factors of 68290 that divides 68275 without a remainder.

1, 2, 5, 10, 6829, 13658, 34145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68275 and 68290. The biggest common factor number is the GCF number.
So the greatest common factor 68275 and 68290 is 5.

Also check out the Least Common Multiple of 68275 and 68290