What is the Greatest Common Factor of 3289 and 3302?

Greatest common factor (GCF) of 3289 and 3302 is 13.

GCF(3289,3302) = 13

We will now calculate the prime factors of 3289 and 3302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3289 and 3302.

How to find the GCF of 3289 and 3302?

We will first find the prime factorization of 3289 and 3302. After we will calculate the factors of 3289 and 3302 and find the biggest common factor number .

Step-1: Prime Factorization of 3289

Prime factors of 3289 are 11, 13, 23. Prime factorization of 3289 in exponential form is:

3289 = 11¹ × 13¹ × 23¹

Step-2: Prime Factorization of 3302

Prime factors of 3302 are 2, 13, 127. Prime factorization of 3302 in exponential form is:

3302 = 2¹ × 13¹ × 127¹

Step-3: Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1, 11, 13, 23, 143, 253, 299

Step-4: Factors of 3302

List of positive integer factors of 3302 that divides 3289 without a remainder.

1, 2, 13, 26, 127, 254, 1651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3289 and 3302. The biggest common factor number is the GCF number.
So the greatest common factor 3289 and 3302 is 13.

Also check out the Least Common Multiple of 3289 and 3302