What is the Greatest Common Factor of 3465 and 3483?

Greatest common factor (GCF) of 3465 and 3483 is 9.

GCF(3465,3483) = 9

We will now calculate the prime factors of 3465 and 3483, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3465 and 3483.

How to find the GCF of 3465 and 3483?

We will first find the prime factorization of 3465 and 3483. After we will calculate the factors of 3465 and 3483 and find the biggest common factor number .

Step-1: Prime Factorization of 3465

Prime factors of 3465 are 3, 5, 7, 11. Prime factorization of 3465 in exponential form is:

3465 = 3² × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 3483

Prime factors of 3483 are 3, 43. Prime factorization of 3483 in exponential form is:

3483 = 3⁴ × 43¹

Step-3: Factors of 3465

List of positive integer factors of 3465 that divides 3465 without a remainder.

1, 3, 5, 7, 9, 11, 15, 21, 33, 35, 45, 55, 63, 77, 99, 105, 165, 231, 315, 385, 495, 693, 1155

Step-4: Factors of 3483

List of positive integer factors of 3483 that divides 3465 without a remainder.

1, 3, 9, 27, 43, 81, 129, 387, 1161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3465 and 3483. The biggest common factor number is the GCF number.
So the greatest common factor 3465 and 3483 is 9.

Also check out the Least Common Multiple of 3465 and 3483