What is the Greatest Common Factor of 68275 and 68295?

Greatest common factor (GCF) of 68275 and 68295 is 5.

GCF(68275,68295) = 5

We will now calculate the prime factors of 68275 and 68295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68275 and 68295.

How to find the GCF of 68275 and 68295?

We will first find the prime factorization of 68275 and 68295. After we will calculate the factors of 68275 and 68295 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 68295

Prime factors of 68295 are 3, 5, 29, 157. Prime factorization of 68295 in exponential form is:

68295 = 3¹ × 5¹ × 29¹ × 157¹

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 68295

List of positive integer factors of 68295 that divides 68275 without a remainder.

1, 3, 5, 15, 29, 87, 145, 157, 435, 471, 785, 2355, 4553, 13659, 22765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68275 and 68295. The biggest common factor number is the GCF number.
So the greatest common factor 68275 and 68295 is 5.

Also check out the Least Common Multiple of 68275 and 68295