What is the Greatest Common Factor of 3285 and 3293?

Greatest common factor (GCF) of 3285 and 3293 is 1.

GCF(3285,3293) = 1

We will now calculate the prime factors of 3285 and 3293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3285 and 3293.

How to find the GCF of 3285 and 3293?

We will first find the prime factorization of 3285 and 3293. After we will calculate the factors of 3285 and 3293 and find the biggest common factor number .

Step-1: Prime Factorization of 3285

Prime factors of 3285 are 3, 5, 73. Prime factorization of 3285 in exponential form is:

3285 = 3² × 5¹ × 73¹

Step-2: Prime Factorization of 3293

Prime factors of 3293 are 37, 89. Prime factorization of 3293 in exponential form is:

3293 = 37¹ × 89¹

Step-3: Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1, 3, 5, 9, 15, 45, 73, 219, 365, 657, 1095

Step-4: Factors of 3293

List of positive integer factors of 3293 that divides 3285 without a remainder.

1, 37, 89

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3285 and 3293. The biggest common factor number is the GCF number.
So the greatest common factor 3285 and 3293 is 1.

Also check out the Least Common Multiple of 3285 and 3293