What is the Greatest Common Factor of 13467 and 13485?

Greatest common factor (GCF) of 13467 and 13485 is 3.

GCF(13467,13485) = 3

We will now calculate the prime factors of 13467 and 13485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13467 and 13485.

How to find the GCF of 13467 and 13485?

We will first find the prime factorization of 13467 and 13485. After we will calculate the factors of 13467 and 13485 and find the biggest common factor number .

Step-1: Prime Factorization of 13467

Prime factors of 13467 are 3, 67. Prime factorization of 13467 in exponential form is:

13467 = 3¹ × 67²

Step-2: 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-3: Factors of 13467

List of positive integer factors of 13467 that divides 13467 without a remainder.

1, 3, 67, 201, 4489

Step-4: Factors of 13485

List of positive integer factors of 13485 that divides 13467 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13467 and 13485. The biggest common factor number is the GCF number.
So the greatest common factor 13467 and 13485 is 3.

Also check out the Least Common Multiple of 13467 and 13485