What is the Greatest Common Factor of 13485 and 13491?

Greatest common factor (GCF) of 13485 and 13491 is 3.

GCF(13485,13491) = 3

We will now calculate the prime factors of 13485 and 13491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13485 and 13491.

How to find the GCF of 13485 and 13491?

We will first find the prime factorization of 13485 and 13491. After we will calculate the factors of 13485 and 13491 and find the biggest common factor number .

Step-1: Prime Factorization of 13485

Prime factors of 13485 are 3, 5, 29, 31. Prime factorization of 13485 in exponential form is:

13485 = 3¹ × 5¹ × 29¹ × 31¹

Step-2: Prime Factorization of 13491

Prime factors of 13491 are 3, 1499. Prime factorization of 13491 in exponential form is:

13491 = 3² × 1499¹

Step-3: Factors of 13485

List of positive integer factors of 13485 that divides 13485 without a remainder.

1, 3, 5, 15, 29, 31, 87, 93, 145, 155, 435, 465, 899, 2697, 4495

Step-4: Factors of 13491

List of positive integer factors of 13491 that divides 13485 without a remainder.

1, 3, 9, 1499, 4497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13485 and 13491. The biggest common factor number is the GCF number.
So the greatest common factor 13485 and 13491 is 3.

Also check out the Least Common Multiple of 13485 and 13491