What is the Greatest Common Factor of 13401 and 13419?

Greatest common factor (GCF) of 13401 and 13419 is 9.

GCF(13401,13419) = 9

We will now calculate the prime factors of 13401 and 13419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13401 and 13419.

How to find the GCF of 13401 and 13419?

We will first find the prime factorization of 13401 and 13419. After we will calculate the factors of 13401 and 13419 and find the biggest common factor number .

Step-1: Prime Factorization of 13401

Prime factors of 13401 are 3, 1489. Prime factorization of 13401 in exponential form is:

13401 = 3² × 1489¹

Step-2: Prime Factorization of 13419

Prime factors of 13419 are 3, 7, 71. Prime factorization of 13419 in exponential form is:

13419 = 3³ × 7¹ × 71¹

Step-3: Factors of 13401

List of positive integer factors of 13401 that divides 13401 without a remainder.

1, 3, 9, 1489, 4467

Step-4: Factors of 13419

List of positive integer factors of 13419 that divides 13401 without a remainder.

1, 3, 7, 9, 21, 27, 63, 71, 189, 213, 497, 639, 1491, 1917, 4473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13401 and 13419. The biggest common factor number is the GCF number.
So the greatest common factor 13401 and 13419 is 9.

Also check out the Least Common Multiple of 13401 and 13419