What is the Greatest Common Factor of 3234 and 3245?

Greatest common factor (GCF) of 3234 and 3245 is 11.

GCF(3234,3245) = 11

We will now calculate the prime factors of 3234 and 3245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3234 and 3245.

How to find the GCF of 3234 and 3245?

We will first find the prime factorization of 3234 and 3245. After we will calculate the factors of 3234 and 3245 and find the biggest common factor number .

Step-1: Prime Factorization of 3234

Prime factors of 3234 are 2, 3, 7, 11. Prime factorization of 3234 in exponential form is:

3234 = 2¹ × 3¹ × 7² × 11¹

Step-2: Prime Factorization of 3245

Prime factors of 3245 are 5, 11, 59. Prime factorization of 3245 in exponential form is:

3245 = 5¹ × 11¹ × 59¹

Step-3: Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617

Step-4: Factors of 3245

List of positive integer factors of 3245 that divides 3234 without a remainder.

1, 5, 11, 55, 59, 295, 649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3234 and 3245. The biggest common factor number is the GCF number.
So the greatest common factor 3234 and 3245 is 11.

Also check out the Least Common Multiple of 3234 and 3245