What is the Greatest Common Factor of 3465 and 3481?

Greatest common factor (GCF) of 3465 and 3481 is 1.

GCF(3465,3481) = 1

We will now calculate the prime factors of 3465 and 3481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3465 and 3481.

How to find the GCF of 3465 and 3481?

We will first find the prime factorization of 3465 and 3481. After we will calculate the factors of 3465 and 3481 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 3481

Prime factors of 3481 are 59. Prime factorization of 3481 in exponential form is:

3481 = 59²

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 3481

List of positive integer factors of 3481 that divides 3465 without a remainder.

1, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3465 and 3481. The biggest common factor number is the GCF number.
So the greatest common factor 3465 and 3481 is 1.

Also check out the Least Common Multiple of 3465 and 3481