What is the Greatest Common Factor of 13409 and 13419?

Greatest common factor (GCF) of 13409 and 13419 is 1.

GCF(13409,13419) = 1

We will now calculate the prime factors of 13409 and 13419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13409 and 13419.

How to find the GCF of 13409 and 13419?

We will first find the prime factorization of 13409 and 13419. After we will calculate the factors of 13409 and 13419 and find the biggest common factor number .

Step-1: Prime Factorization of 13409

Prime factors of 13409 are 11, 23, 53. Prime factorization of 13409 in exponential form is:

13409 = 11¹ × 23¹ × 53¹

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 13409

List of positive integer factors of 13409 that divides 13409 without a remainder.

1, 11, 23, 53, 253, 583, 1219

Step-4: Factors of 13419

List of positive integer factors of 13419 that divides 13409 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 13409 and 13419. The biggest common factor number is the GCF number.
So the greatest common factor 13409 and 13419 is 1.

Also check out the Least Common Multiple of 13409 and 13419