What is the Greatest Common Factor of 3275 and 3295?

Greatest common factor (GCF) of 3275 and 3295 is 5.

GCF(3275,3295) = 5

We will now calculate the prime factors of 3275 and 3295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3275 and 3295.

How to find the GCF of 3275 and 3295?

We will first find the prime factorization of 3275 and 3295. After we will calculate the factors of 3275 and 3295 and find the biggest common factor number .

Step-1: Prime Factorization of 3275

Prime factors of 3275 are 5, 131. Prime factorization of 3275 in exponential form is:

3275 = 5² × 131¹

Step-2: Prime Factorization of 3295

Prime factors of 3295 are 5, 659. Prime factorization of 3295 in exponential form is:

3295 = 5¹ × 659¹

Step-3: Factors of 3275

List of positive integer factors of 3275 that divides 3275 without a remainder.

1, 5, 25, 131, 655

Step-4: Factors of 3295

List of positive integer factors of 3295 that divides 3275 without a remainder.

1, 5, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3275 and 3295. The biggest common factor number is the GCF number.
So the greatest common factor 3275 and 3295 is 5.

Also check out the Least Common Multiple of 3275 and 3295